Book Chapters and Conference Papers
C-1. Nonlinear Dispersive Waves and Multi-phase Modes, M.J. Ablowitz, in Nonlinear Wave Motion, pp 127-124, Ed. A.C. Newell, Lectures in Applied Mathematics, American Mathematical Society, Providence, RI (1974).
C-2. The Inverse Scattering Transform--Continuous and Discrete and its Relationship with Painlevé Transcendents, M.J. Ablowitz, in Nonlinear Evolution Equations Solvable by the Spectral Transform, pp 9-32, Ed. F. Calogero, Research Notes in Mathematics 26, Pitman, London (1978).
C-3. Solitons, Solutions of Nonlinear Evolution Equations and the Inverse Scattering Transform, M.J. Ablowitz, in Mathematical Methods and Applications of Scattering Theory, Eds. DeSanto, Saenz and Zachary, Lecture Notes in Physics, Vol. 130, Springer-Verlag, Berlin (1980).
C-4. Solutions of an Internal Wave Equation Describing a Stratified Fluid with Finite Depth, J. Satsuma and M.J. Ablowitz, in Nonlinear Partial Differential Equations in Engineering & Applied Science, pp 397-414, Eds. R.L. Sternberg, A.J. Kalinowki and J.S. Papadakis, Marcel Dekker, Inc., NY (1980).
C-5. Nonlinear Wave Propagation, M.J. Ablowitz, in Encyclopedia of Physics, pp 663-664, Eds. R. Lerner, G. Trigg, Addison-Wesley, Reading, MA (1981).
C-6. Remarks on Nonlinear Evolution Equations and the Inverse Scattering Transform, M.J. Ablowitz, in Nonlinear Phen. in Physics & Biology, pp. 83-94, Eds. R.H. Enns, B.L. Jones, R.M. Miura and S.S. Rangnekar, Plenum, NY (1981).
C-7. Direct Linearization of the Korteweg-deVries Equation, A.S. Fokas and M.J. Ablowitz, in Mathematical Methods in Hydrodynamics and Integrability in Dynamical Systems, pp. 237-241, Eds. M. Tabor and Y.M. Treve, AIP Conference Proceedings, No. 88, La Jolla Institute (1981).
C-8. A Direct Linearization Associated with the Benjamin-Ono Equation, M.J. Ablowitz and A.S. Fokas, in Mathematical Methods in Hydrodynamics and Integrability in Dynamical Systems, pp. 229-236, Eds. M. Tabor and Y.M. Treve, AIP Conference Proceedings, No. 88, La Jolla Institute (1981).
C-9. Comments on the Inverse Scattering Transform and Related Nonlinear Evolution Equations, M.J. Ablowitz and A.S. Fokas, in Nonlinear Phenomena, pp 1-15, Ed. K.B. Wolf, Lecture Notes in Physics, Vol. 189, Springer-Verlag, Berlin (1983).
C-10. Lectures on the Inverse Scattering Transform for Multidimensional (2+1) Problems, A.S. Fokas and M.J. Ablowitz, in Nonlinear Phenomena, pp 137-183, Ed. K.B. Wolf, Lecture Notes in Physics, Vol 189, Springer-Verlag, Berlin (1983).
C-11. Nonlinear Evolution Equations and Inverse Scattering in Multidimensions, M.J. Ablowitz, in Proceedings RIMS, Kyoto University Press (1984).
C-12. Numerical Simulations of Certain Nonlinear Evolution Equations of Physical Interest, T.R. Taha and M.J. Ablowitz, in Advances in Computational Methods for Partial Differential Equations, Eds. V.R. Vichnevetsky and R.S. Stepleman, AICA, International Association for Analog Computation, Brunswick, NJ (1984).
C-13. Note on the Inverse Scattering for First Order Multidimensional Systems, A. Nachman, A.S. Fokas and M.J. Ablowitz, in Nonlinear systems of Partial Differential Equations, pp 217-222, Eds. B. Nicolaenko, D. Holm, and J. Hyman, Lectures in Appl. Math., American Mathematical Society, Vol. 23, Providence, RI (1986).
C-14. Exactly Solvable Multidimensional Nonlinear Equations and Inverse Scattering, M.J. Ablowitz, in Topics in Soliton Theory and Exactly Solvable Nonlinear Equations, pp 20-32, Eds. M.J. Ablowitz, M.D. Kruskal and B. Fuchssteiner, World Scientific, Singapore (1986).
C-15. Topics Associated with Nonlinear Evolution Equations and Inverse Scattering in Multidimensions, M.J. Ablowitz, in Solitons, pp 44-65, Ed. M. Lakshmanan, Springer Series in Nonlinear Dynamics, Springer-Verlag, Berlin (1988).
C-16. Classical Poisson Bracket Relations and Quantum Commutation Relations for Davey- Stewartson, C.L. Schultz, M.J. Ablowitz, D. Bar Yaacov, in Nonlinear Evolutions, pp 437-448, Ed. J.P. Leon, World Scientific, Singapore (1988).
C-17. Nonlinear Evolution Equations, Solitons and Cellular Automata, M.J. Ablowitz, in Singular Behavior and Nonlinear Dynamics, pp 1-26, Eds. St. Pneuvmatikos, T. Bountis, Sp. Pneuvmatikos, World Scientific, Singapore (1989).
C-18. On Numerical Chaos in the Nonlinear Schrödinger Equation, B. Herbst and M.J. Ablowitz, in Integrable Systems and Applications, pp. 192-206, Eds. M. Balabane, P. Lochak, and C. Sulem, Lect. Notes in Physics, Vol. 342, Springer-Verlag, Berlin (1989).
C-19. Nonlinear Evolution Equations, Solitons, Chaos and Cellular Automata, M.J. Ablowitz, B.M. Herbst, J.M. Keiser, in Nonlinear Physics, pp 166-189, Research Reports in Physics, Eds. C. Gu, Y. Li. and G. Tu, Springer-Verlag, Berlin (1990).
C-20. Nonlinear Evolution Equations, Inverse Scattering and Cellular Automata, M.J. Ablowitz, in Solitons in Physics, Mathematics and Nonlinear Optics, pp. 1-26, Eds. P. Olver and D. Sattinger, IMA Series, Vol. 25, Springer-Verlag, Berlin, (1990).
C-21. Painlevé Equations and the Inverse Scattering and Inverse Monodromy Transforms, M.J. Ablowitz, in Solitons in Physics, Mathematics and Nonlinear Optics, pp. 27-43, Eds. P. Olver and D. Sattinger, IMA Series, Vol. 25, Springer-Verlag, Berlin (1990).
C-22. Solitons, Numerical Chaos and Cellular Automata, M.J. Ablowitz, B.M. Herbst, J.M. Keiser, in Integrable Systems, pp 46-79, Ed. B. Kuperschmidt, World Scientific, Singapore (1990).
C-23. On Homoclinic Boundaries in the Nonlinear Schrödinger Equation, M.J. Ablowitz and B.M. Herbst, in Hamiltonian Systems, Transformation Groups, and Spectral Transform Methods, pp 121-132, Eds. J. Harrod and J. Marsden, Les Publications CRM, Montreal, Canada (1990).
C-24. Exact Solutions of Nonlinear Evolution Equations in the Strong Coupling Limit, C.L. Schultz and M.J.Ablowitz , in Nonlinear Evolution Equations: Integrability and Spectral Methods, pp. 25-32, Eds. A. Degasperis, A.P.Fordy and M. Lakshmanan, MUP, Manchester, 1990.
C-25. On the Complete Integrability of Certain Nonlinear Evolution Equations in One and Two Spatial Dimensions, M.J. Ablowitz and J. Villarroel, in Chaos and Order, pp 1-13, Ed. N. Joshi and R. Dewar, World Scientific, Singapore (1991).
C-26. Nonlinear Wave Propagation, M.J. Ablowitz, in Encyclopedia of Physics, 2nd Edition, pp 813-815, Eds. R.G. Lerner, G.L. Trigg, VCH Publishers, Inc., New York (1991).
C-27. One Dimensional Reductions of Self-Dual Yang-Mills Fields and Classical Equations, S. Chakravarty, M.J. Ablowitz and P.A. Clarkson, in Recent Advances in Relativity--Essays in Honor of Ted Newman, pp 60-71, Eds. Allan I. Janis and John R. Porter, Birkhauser, Boston (1992).
C-28. On Reductions of Self-Dual Yang Mills Equations, S. Chakravarty and M.J. Ablowitz, in Painlevé Transcendents, pp 331-343, Eds. D. Levi and P. Winternitz, Plenum, New York (1992).
C-29. Self Dual Yang-Mills Equation and New Special Functions in Integrable Systems, S. Chakravarty, M.J. Ablowitz and L.A. Takhtajan, in Nonlinear Equations and Dynamical Systems, pp 3-11, Eds. M. Boiti, L. Martina and F. Pempinelli, World Scientific, Singapore (1992).
C-30. Integrable Systems, Self-Dual Yang-Mills Equations and Connections with Modular Forms, M.J. Ablowitz, S. Chakravarty and L.A. Takhtajan, in Nonlinear Problems in Engineering and Science, pp 1-15, Eds. S. Xiao and X.-C. Hu, Science Press, Beijing, China (1992).
C-31. Solitons and Computation, M.J. Ablowitz and B.M. Herbst, in Important Developments in Soliton Theory, Eds. A. Fokas, V. Zakharov, Series in Nonlinear Dynamics, Springer-Verlag, Berlin (1993).
C-32. On the Elliptic 2+1 Toda Equation, J. Villarroel and M.J. Ablowitz, in Applications of Analytic and Geometric Methods to Nonlinear Differential Equations, Ed. P.A. Clarkson, NATO ASI Series C: Mathematical and Physical Sciences, Kluwer Academic Publishers, 413 (1993) 251-256.
C-33. Remarks on the Inverse Scattering Transform Associated with Toda Equations, M.J. Ablowitz and J. Villarroel, in Quantum Inversion Theory and Applications, Proceedings, Ed. H.V. von Geramb, Lecture Notes in Physics, Springer-Verlag, New York 427 (1994) 30-36.
C-34. Rapidly Forced Burgers Equation, M.J. Ablowitz and S. De Lillo, in Applications of Analytic and Geometric Methods to Nonlinear Differential Equations, Ed. P.A. Clarkson, NATO ASI Series C: Mathematical and Physical Sciences, Kluwer Academic Publishers, 413 (1993) 81-87.
C-35. Mel'nikov Analysis and Numerically Induced Chaos, B.M. Herbst and M.J. Ablowitz, Chaos in Australia, Conference Proceedings, Eds. G. Brown and A. Opie, World Scientific, Singapore, (1993) 40-56.
C-36. Hamiltonian Integrators for the Nonlinear Schrödinger Equation, M.J. Ablowitz and C. Schober, in Proceedings of the 2nd IMACS Conference on Computational Physics, Ed. J. Potvin, World Scientific, Singapore, (1994) 219-224.
C-37. Numerical Stochasticity, Hamiltonian Integrators and the Nonlinear Schrödinger Equation, M.J. Ablowitz and C. Schober, in Three Dimensional Dynamical Systems, Ed. Dr. Kandrup, Annals New York Academy of Sciences, (1994) 162-181.
C-38. Chaos in Numerics, B.M. Herbst, G.J. Le Roux and M.J. Ablowitz, in Numerical Analysis, Eds. D.F. Griffiths and G.A. Watson, World Scientific, Singapore, (1996) 133-154.
C-39. On the Numerics of Integrable Discretizations, M.J. Ablowitz, B.M. Herbst and C.M. Schober, in CRM Proceedings and Lecture Notes, Centre de Recherches Mathematiques, 9 (1996) 1-11.
C-40. Nonlinear Waves, Solitons and IST, M.J. Ablowitz, in Integrability of Nonlinear Systems, Eds. Y. Kosmann-Schwarzbach, B. Grammaticos and K.M. Tamizhmani, Proceeding of the CIMPA School, Pondicherry University, India, 1996, Springer Lecture Notes in Physics (1996) 5-29.
C-41. Painlevé Test and Painlevé Type Equations, M.J. Ablowitz, in Encyclopaedia of Mathematics Supplement, Volume I, Editor-in-Chief, Prof.dr. M. Hazewinkel, Kluwer Acad. Publ., 1997, 397-398.
C-42. The Darboux-Halphen System and the Singularity Structure of its Solutions, M.J. Ablowitz, S. Chakravarty, and R. Halburd, in Mathematical and Numerical Aspects of Wave Propagation, Ed. John A. DeSanto, Society for Industrial and Applied Mathematics, Philadelphia, PA, 1998, 408-412.
C-43. Collision Induced Timing Jitter in Dispersion Managed Soliton Systems, M.J. Ablowitz, G. Biondini, S. Chakravarty and R.L. Horne, in Nonlinear Guided Waves and Their Applications, Technical Digest Series, Volume 5, Conference Edition, Optical Society of America, Washington, DC, 1998, 181-183.
C-44. Soliton Communications and Wavelength-division Multiplexing, M.J. Ablowitz, G. Biondini, and S. Chakravarty, in Mathematical and Numerical Aspects of Wave Propagation, Ed. John A. DeSanto, Society for Industrial and Applied Mathematics, Philadlephia, PA, 1998, 145-149.
C-45. Multidimensional Optical Pulses in Non-resonant Quadratic Materials, M.J. Ablowitz, G. Biondini and S. Blair, Technical Digest, IEEE/LEOS Conference: Nonlinear Optics '98; Materials, Fundamentals and Applications Topical Meeting, IEEE Catalog #: 98CH36244, pp. 162-164.
C-46. New Solutions of the Nonstationary Schrödinger and Kadomtsev-Petviashvili Equations, M.J. Ablowitz and J. Villarroel, in Symmetries and Integrability of Difference Equations, Eds. P.A. Clarkson and F.W. Nijhoff, London Mathematical Society Lecture Note Series 255, Cambridge University Press, Cambridge, UK, 1999, 151-164.
C-47. On Painlevé and Darboux-Halphen Type Equations, M.J. Ablowitz, S. Chakravarty and R. Halburd, in The Painlevé Property, Once Century Later, Ed. R. Conte, CRM Series in Mathematical Physics, Springer, 1999, 573-589.
C-48. Nevanlinna Theory and Difference Equations of Painlevé Type, M.J. Ablowitz, and R. Halburd, in Nonlinearity, Integrability and all that: Twenty years after NEEDS 1979, Eds. M. Boiti, L. Martina, F. Pempinelli, B. Prinari and G. Soliani, World Scientific, 2000, 3-11.
C-49. Spectral Collapse of Wavelength-division Multiplexed Dispersion Managed Solitons, M.J. Ablowitz, G. Biondini and E. Olson, Technical Digest, OSA/IEEE/LEOS Conference Nonlinear Optics: Materials, Fundamentals and Applications, 2000, OSA Catalog #: 1-55752-646-X, 199-201.
C-50. Four-wave Mixing in Strong Dispersion-Managed Wavelength-Division Multiplexed Soliton Systems, M.J. Ablowitz, G. Biondini, S. Chakravarty, R.L. Horne and E. Spiller, Technical Digest, OSA/IEEE/LEOS Conference Nonlinear Optics: Materials, Fundamentals and Applications, 2000, OSA Catalog #: 1-55752-646-X, 338-340.
C-51. On the Evolution and Interaction of Dispersion-Managed Solitons, M.J. Ablowitz, G. Biondini and E.S. Olson, "Massive WDM and TDM Soliton Transmission Systems" Ed. A, Hasegawa, Kluwer Academic Publishers,2000, 75-114.
C-52. Resonant intrachannel four-wave mixing in strongly dispersion-managed transmission systems, M. J. Ablowitz and T. Hirooka, Procedings of Conference on Optical Fiber Communications (OFC 2001), Anaheim CA, WDD33, March 2001.
C-53. Quasi-linear optical pulses in strongly dispersion-managed transmission systems, M. J. Ablowitz, T. Hirooka, G. Biondini, and W. L. Kath, Procedings Nonlinear Guided Waves and Their Applications (NLGW 2001), Clearwater FL, MC76, March 2001.
C-54. On the Scattering of Multipole Lumps for the Kadomtsev-Petviashvili Equation, M.J. Ablowitz and J. Villarroel, Scattering and Inverse Scattering in Pure and Applied Science, Eds. P. Sabatier and E.R. Pike, Academic Press, (2001), 1792-1806.
C-55. Chaotic Dynamics in Nonlinear Waves: Computational and Physical, M.J. Ablowitz and C.M. Schober, Collected Lectures on the Preservation of Stability under Discretization, Eds: D. Estep and S. Tavener, (2002) SIAM, Phila.
C-56. Managing Nonlinearity in Strongly Dispersion Managed Optical Pulse Transmission, M. J. Ablowitz and T. Hirooka, Technical Digest, OSA Conference Nonlinear Optics: Materials, Fundamentals and Applications, 2002.
C-57. Quasi-linear optical pulses in dispersion-managed fibers: propagation and interaction, M. J. Ablowitz and T. Hirooka, in Optical Solitons: Theoretical and Experimental Challenges, K. Porsezian and V. C. Kuriakose, Eds. (Lecture Notes in Physics 613), Springer-Verlag, 2003, pp.227-246.
C-58. On the IST for discrete nonlinear Schrödinger systems and polarization shift for discrete vector solitons, M. J. Ablowitz, B. Prinari and D. Trubatch, Nonlinear Physics: Theory and Experiment. II, Eds. M.J. Ablowitz, M. Boiti, F. Pempinelli and B. Prinari, pp. 3–16, World Scientific, Singapore, 2003.
C-59. Discrete scalar and vector diffraction-managed nonlinear Schrödinger equations, M. J. Ablowitz, and Z. Musslimani, Nonlinear Physics: Theory and Experiment. II, Eds. M.J. Ablowitz, M. Boiti, F. Pempinelli and B. Prinari, p. 319–332, World Scientific, Singapore, 2003.
C-60. Nonlinear waves and (interesting) applications, M.J. Ablowitz, T. Hirooka, and Z. Musslimani, Nonlinear dynamics from lasers to butterflies, Eds. R. Ball and N. Akhmediev, World Scientific, 2003.
C-61. Initial value problems and solutions of the Kadomstev-Petviashvili Equation, M.J. Ablowitz and J. Villarroel, New trends in integrability and partial solvability Ed. A.B. Shabat, A. Gonzalez-Lopez, M. Manas, L. Martinez Alonzo and m.A. Rodriguez, NATO Science Series, II. Mathematics, Physics and Chemistry, Volume 32, 2004.
C-62. Theory of carrier-envelope phase slip for ultra-short dispersion managed solitons, M.J. Ablowitz, B. Ilan and S. Cundiff, Technical Digest, Nonlinear Guided Waves and Their Applications, 2004.
C-63. Reduction of collision-induced timing jitter via periodic-group-delay dispersion-compensating modules in quasi-linear return-to-zero systems, M.J. Ablowitz, C. Ahrens, G. Biondini, S. Chakravarty and A. Docherty, Technical Digest, OSA Conference Nonlinear Optics: Materials, Fundamentals and Applications, 2004.
C-64. Ablowitz-Kaup-Newell-Segur (AKNS) System, M.J. Ablowitz, Encyclopedia of Nonlinear Science, Routledge Publishing Co., NY, 2004.
C-65. Nonlinear Wave Propagation, M.J. Ablowitz Encyclopedia of Physics Eds. R.G. Lerner and G.L. Trigg, Wiley-VCH, Berlin, Germany, 2005.
C-66. Nonlinear Schrödinger Equations, M.J. Ablowitz and B. Prinari Encyclopedia of Mathematical Physics, Eds. J-P Francoise, G.N. Naber and S.T. Tsou, Elsevier, Academic press, Amsterdam, Netherlands, 2006.
C-67. Solitary waves from optics to fluid dynamics, M. J. Ablowitz, and A. Docherty, Accepted, Second International Symposium on the Frontiers of Applied Mathematics, World Scientific, 2006.
C-1. Nonlinear Dispersive Waves and Multi-phase Modes, M.J. Ablowitz, in Nonlinear Wave Motion, pp 127-124, Ed. A.C. Newell, Lectures in Applied Mathematics, American Mathe- matical Society, Providence, RI (1974).
C-2. The Inverse Scattering Transform—Continuous and Discrete and its Relationship with Painlev´e Transcendents, M.J. Ablowitz, in Nonlinear Evolution Equations Solvable by the Spectral Transform, pp 9-32, Ed. F. Calogero, Research Notes in Mathematics 26, Pitman, London (1978).
C-3. Solitons, Solutions of Nonlinear Evolution Equations and the Inverse Scattering Transform, M.J. Ablowitz, in Mathematical Methods and Applications of Scattering Theory, Eds. De- Santo, Saenz and Zachary, Lecture Notes in Physics, Vol. 130, Springer-Verlag, Berlin (1980).
C-4. Solutions of an Internal Wave Equation Describing a Stratified Fluid with Finite Depth, J. Satsuma and M.J. Ablowitz, in Nonlinear Partial Differential Equations in Engineering
& Applied Science, pp 397-414, Eds. R.L. Sternberg, A.J. Kalinowki and J.S. Papadakis, Marcel Dekker, Inc., NY (1980).
C-5. Nonlinear Wave Propagation, M.J. Ablowitz, in Encyclopedia of Physics, pp 663-664, Eds. R. Lerner, G. Trigg, Addison-Wesley, Reading, MA (1981).
C-6. Remarks on Nonlinear Evolution Equations and the Inverse Scattering Transform, M.J.
Ablowitz, in Nonlinear Phen. in Physics & Biology, pp. 83–94, Eds. R.H. Enns, B.L. Jones, R.M. Miura and S.S. Rangnekar, Plenum, NY (1981).
C-6. Remarks on Nonlinear Evolution Equations and the Inverse Scattering Transform, M.J.
Ablowitz, in Nonlinear Phen. in Physics & Biology, pp. 83–94, Eds. R.H. Enns, B.L. Jones, R.M. Miura and S.S. Rangnekar, Plenum, NY (1981).
C-7. Nonlinear Evolution Equations and Inverse Scattering in Multidimensions, M.J. Ablowitz, in
Proceedings RIMS, Kyoto University Press (1984).
C-8. Numerical Simulations of Certain Nonlinear Evolution Equations of Physical Interest, T.R.
Taha and M.J. Ablowitz, in Advances in Computational Methods for Partial Differential Equations, Eds. V.R. Vichnevetsky and R.S. Stepleman, AICA, International Association for AnalogComputation, Brunswick, NJ (1984).
C-9. Note on the Inverse Scattering for First Order Multidimensional Systems, A. Nachman, A.S.
Fokas and M.J. Ablowitz, in Nonlinear systems of Partial Differential Equations, pp 217-
222, Eds. B. Nicolaenko, D. Holm, and J. Hyman, Lectures in Appl. Math., American
Mathematical Society, Vol. 23, Providence, RI (1986).
C-10. Exactly Solvable Multidimensional Nonlinear Equations and Inverse Scattering, M.J.
Ablowitz, in Topics in Soliton Theory and Exactly Solvable Nonlinear Equations, pp 20–
32, Eds. M.J. Ablowitz, M.D. Kruskal and B. Fuchssteiner, World Scientific, Singapore
(1986).
C-11. Topics Associated with Nonlinear Evolution Equations and Inverse Scattering in Multidi- mensions, M.J. Ablowitz, in Solitons, pp 44-65, Ed. M. Lakshmanan, Springer Series in Nonlinear Dynamics, Springer-Verlag, Berlin (1988).
C-12. Classical Poisson Bracket Relations and Quantum Commutation Relations for Davey- Stewartson, C.L. Schultz, M.J. Ablowitz, D. Bar Yaacov, in Nonlinear Evolutions, pp 437-
448, Ed. J.P. Leon, World Scientific, Singapore (1988).
C-13. Nonlinear Evolution Equations, Solitons and Cellular Automata, M.J. Ablowitz, in Singu- lar Behavior and Nonlinear Dynamics, pp 1-26, Eds. St. Pneuvmatikos, T. Bountis, Sp.Pneuvmatikos, World Scientific, Singapore (1989).
C-14. On Numerical Chaos in the Nonlinear Schrodinger Equation, B. Herbst and M.J. Ablowitz, in Integrable Systems and Applications, pp. 192-206, Eds. M. Balabane, P. Lochak, and C. Sulem,Lect. Notes in Physics, Vol. 342, Springer-Verlag, Berlin (1989).
C-15. Nonlinear Evolution Equations, Solitons, Chaos and Cellular Automata, M.J. Ablowitz, B.M. Herbst, J.M. Keiser, in Nonlinear Physics, pp 166-189, Research Reports in Physics, Eds. C.Gu, Y. Li. and G. Tu, Springer-Verlag, Berlin (1990).
C-16. Nonlinear Evolution Equations, Inverse Scattering and Cellular Automata, M.J. Ablowitz, in Solitons in Physics, Mathematics and Nonlinear Optics, pp. 1-26, Eds. P. Olver and D.Sattinger, IMA Series, Vol. 25, Springer-Verlag, Berlin, (1990).
C-17. Painlev´e Equations and the Inverse Scattering and Inverse Monodromy Transforms, M.J.
Ablowitz, in Solitons in Physics, Mathematics and Nonlinear Optics, pp. 27-43, Eds. P. Olver and D. Sattinger, IMA Series, Vol. 25, Springer-Verlag, Berlin (1990).
C-18. Solitons, Numerical Chaos and Cellular Automata, M.J. Ablowitz, B.M. Herbst, J.M. Keiser, in Integrable Systems, pp 46-79, Ed. B. Kuperschmidt, World Scientific, Singapore (1990).
C-19. On Homoclinic Boundaries in the Nonlinear Schrodinger Equation, M.J. Ablowitz and B.M.
Herbst, in Hamiltonian Systems, Transformation Groups, and Spectral Transform Methods, pp.121-132, Eds. J. Harrod and J. Marsden, Les Publications CRM, Montreal, Canada (1990).
C-20. Exact Solutions of Nonlinear Evolution Equations in the Strong Coupling Limit, C.L. Schultz and M.J.Ablowitz, in Nonlinear Evolution Equations: Integrability and Spectral Methods, pp.
25-32, Eds. A. Degasperis, A.P.Fordy and M. Lakshmanan, MUP, Manchester, 1990.
C-21. On the Complete Integrability of Certain Nonlinear Evolution Equations in One and Two Spatial Dimensions, M.J. Ablowitz and J. Villarroel, in Chaos and Order, pp 1-13, Ed. N. Joshiand R. Dewar, World Scientific, Singapore (1991).
C-22. Nonlinear Wave Propagation, M.J. Ablowitz, in Encyclopedia of Physics, 2nd Edition, pp
813-815, Eds. R.G. Lerner, G.L. Trigg, VCH Publishers, Inc., New York (1991).
C-23. One Dimensional Reductions of Self-Dual Yang-Mills Fields and Classical Equations,
S. Chakravarty, M.J. Ablowitz and P.A. Clarkson, in Recent Advances in Relativity—Essays in Honor of Ted Newman, pp.60-71, Eds. Allan I. Janis and John R. Porter, Birkhauser, Boston (1992).
C-24. On Reductions of Self-Dual Yang Mills Equations, S. Chakravarty and M.J. Ablowitz, in Painlev´e Transcendents, pp 331-343, Eds. D. Levi and P. Winternitz, Plenum, New York (1992).
C-25. Self Dual Yang-Mills Equation and New Special Functions in Integrable Systems,
S. Chakravarty, M.J. Ablowitz and L.A. Takhtajan, in Nonlinear Equations and Dynamical Systems, pp 3-11, Eds. M. Boiti, L. Martina and F. Pempinelli, World Scientific, Singapore (1992).
C-26. Integrable Systems, Self-Dual Yang-Mills Equations and Connections with Modular Forms, M.J. Ablowitz, S. Chakravarty and L.A. Takhtajan, in Nonlinear Problems in Engineering andScience, pp 1-15, Eds. S. Xiao and X.-C. Hu, Science Press, Beijing, China (1992).
C-27. Solitons and Computation, M.J. Ablowitz and B.M. Herbst, in Important Developments in Soliton Theory, Eds. A. Fokas, V. Zakharov, Series in Nonlinear Dynamics, Springer-Verlag, Berlin(1993).
C-28. On the Elliptic 2 + 1 Toda Equation, J. Villarroel and M.J. Ablowitz, in Applications of
Analytic and Geometric Methods to Nonlinear Differential Equations, Ed. P.A. Clarkson,
NATO ASI Series C: Mathematical and Physical Sciences, Kluwer Academic Publishers, 413
(1993) 251-256.
C-29. Remarks on the Inverse Scattering Transform Associated with Toda Equations, M.J. Ablowitz and J. Villarroel, in Quantum Inversion Theory and Applications, Proceedings, Ed. H.V. vonGeramb, Lecture Notes in Physics, Springer-Verlag, New York 427 (1994) 30-36.
C- 30. Rapidly Forced Burgers Equation, M.J. Ablowitz and S. De Lillo, in Applications of Analytic and Geometric Methods to Nonlinear Differential Equations, Ed. P.A. Clarkson, NATO ASI Series C: Mathematical and Physical Sciences, Kluwer Academic Publishers, 413 (1993) 81-87.
C-31. Mel’nikov Analysis and Numerically Induced Chaos, B.M. Herbst and M.J. Ablowitz, Chaos in Australia, Conference Proceedings, Eds. G. Brown and A. Opie, World Scientific, Singa- pore,(1993) 40-56.
C-32. Chaos in Numerics, B.M. Herbst, G.J. Le Roux and M.J. Ablowitz, in Numerical Analysis,
Eds. D.F. Griffiths and G.A. Watson, World Scientific, Singapore, (1996) 133-154.
C-33. On the Numerics of Integrable Discretizations, M.J. Ablowitz, B.M. Herbst and C.M.
Schober, in CRM Proceedings and Lecture Notes, Centre de Recherches Mathematiques,
9 (1996) 1-11.
C-34. Nonlinear Waves, Solitons and IST, M.J. Ablowitz, in Integrability of Nonlinear Systems, Eds. Y. Kosmann-Schwarzbach, B. Grammaticos and K.M. Tamizhmani, Proceeding of theCIMPA School, Pondicherry University, India, 1996, Springer Lecture Notes in Physics (1996) 5–29. Reprinted in (2005).
C-35. Painlev´e Test and Painlev´e Type Equations, M.J. Ablowitz, in Encyclopaedia of Mathematics
Supplement, Volume I, Editor-in-Chief, Prof.dr. M. Hazewinkel, Kluwer Acad. Publ., 1997,
397–398.
C-36. The Darboux-Halphen System and the Singularity Structure of its Solutions, M.J. Ablowitz, S. Chakravarty, and R. Halburd, in Mathematical and Numerical Aspects of Wave Propaga- tion, Ed. John A. DeSanto, Society for Industrial and Applied Mathematics, Philadelphia, PA, 1998, 408–412.
C-37. Collision Induced Timing Jitter in Dispersion Managed Soliton Systems, M.J. Ablowitz, G.
Biondini, S. Chakravarty and R.L. Horne, in Nonlinear Guided Waves and Their Applica- tions, Technical Digest Series, Volume 5, Conference Edition, Optical Society of America, Washington,DC, 1998, 181–183.
C-38. Soliton Communications and Wavelength-division Multiplexing, M.J. Ablowitz, G. Biondini, and S. Chakravarty, in Mathematical and Numerical Aspects of Wave Propagation, Ed. John A. DeSanto, Society for Industrial and Applied Mathematics, Philadlephia, PA, 1998, 145– 149.
C-39. Multidimensional Optical Pulses in Non-resonant Quadratic Materials, M.J. Ablowitz, G. Biondini and S. Blair, Technical Digest, IEEE/LEOS Conference: Nonlinear Optics ’98; Materials, Fundamentals and Applications Topical Meeting, IEEE Catalog #: 98CH36244, pp. 162–164.
C-40. New Solutions of the Nonstationary Schrodinger and Kadomtsev-Petviashvili Equations, M.J. Ablowitz and J. Villarroel, in Symmetries and Integrability of Difference Equations, Eds. P.A. Clarkson and F.W. Nijhoff, London Mathematical Society Lecture Note Series 255, Cambridge University Press, Cambridge, UK, 1999, 151–164.
C-41. On Painlev´e and Darboux-Halphen Type Equations, M.J. Ablowitz, S. Chakravarty and R. Halburd, in The Painlev´e Property, Once Century Later, Ed. R. Conte, CRM Series in Mathematical Physics, Springer, 1999, 573–589.
C-42. Nevanlinna Theory and Difference Equations of Painlev´e Type, M.J. Ablowitz, and R. Halburd, in Nonlinearity, Integrability and all that: Twenty years after NEEDS 1979, Eds. M. Boiti, L. Martina, F. Pempinelli, B. Prinari and G. Soliani, World Scientific, 2000, 3-11.
C-43. Spectral Collapse of Wavelength-division Multiplexed Dispersion Managed Solitons, M.J. Ablowitz, G. Biondini and E. Olson, Technical Digest, OSA/IEEE/LEOS Conference Non- linear Optics: Materials, Fundamentals and Applications, 2000, OSA Catalog #: 1-55752- 646-X, 199–201.
C-44. Four-wave Mixing in Strong Dispersion-Managed Wavelength-Division Multiplexed Soliton Systems, M.J. Ablowitz, G. Biondini, S. Chakravarty, R.L. Horne and E. Spiller, Techni- cal Digest, OSA/IEEE/LEOS Conference Nonlinear Optics: Materials, Fundamentals and Applications, 2000, OSA Catalog #: 1-55752-646-X, 338-340.
C-45. On the Evolution and Interaction of Dispersion-Managed Solitons, M.J. Ablowitz, G. Bion- dini and E.S. Olson, ”Massive WDM and TDM Soliton Transmission Systems” Ed. A, Hasegawa, Kluwer Academic Publishers,2000, 75-114.
C-46. Resonant intrachannel four-wave mixing in strongly dispersion-managed transmission sys- tems, M. J. Ablowitz and T. Hirooka, Procedings of Conference on Optical Fiber Commu- nications (OFC 2001), Anaheim CA, WDD33, March 2001.
C-47. Quasi-linear optical pulses in strongly dispersion-managed transmission systems, M. J. Ablowitz, T. Hirooka, G. Biondini and W. L. Kath, Proceedings, Nonlinear Guided Waves and Their Applications (NLGW 2001), Clearwater FL, MC76, March 2001.
C-48. On the Scattering of Multipole Lumps for the Kadomtsev-Petviashvili Equation, M.J. Ablowitz and J. Villarroel, Scattering and Inverse Scattering in Pure and Applied Science, Eds. P. Sabatier and E.R. Pike, Academic Press, (2001), 1792-1806.
C-49. Chaotic Dynamics in Nonlinear Waves: Computational and Physical, M.J. Ablowitz and C.M. Schober, Collected Lectures on the Preservation of Stability under Discretization, Eds: D. Estep and S. Tavener, (2002) SIAM, Phila.
C-50. Managing Nonlinearity in Strongly Dispersion Managed Optical Pulse Transmission, M. J. Ablowitz and T. Hirooka, Technical Digest, OSA Conference Nonlinear Optics: Materials, Fundamentals and Applications, 2002.
C-51. Quasi-linear optical pulses in dispersion managed fibers: propagation and interaction, M. J. Ablowitz and T. Hirooka, in Optical Solitons: Theoretical and Experimental Challenges, K. Porsezian and V. C. Kuriakose, Eds. (Lecture Notes in Physics 613), Springer-Verlag, 2003, pp. 227-246.
C-52. On the IST for discrete nonlinear Schrodinger systems and polarization shift for discrete vector solitons, M. J. Ablowitz, B. Prinari and D. Trubatch, Nonlinear Physics: Theory and Experiment. II, Eds. M.J. Ablowitz, M. Boiti, F. Pempinelli and B. Prinari, pp. 3–16, World Scientific, Singapore, 2003
C-53. Discrete scalar and vector diffraction-managed nonlinear Schrodinger equations, M. J. Ablowitz, and Z. Musslimani, Nonlinear Physics: Theory and Experiment. II, Eds. M.J. Ablowitz, M. Boiti, F. Pempinelli and B. Prinari, p. 319–332, World Scientific, Singapore, 2003
C-54. Nonlinear waves and (interesting) applications, M.J. Ablowitz, T. Hirooka, and Z. Mussli- mani, Nonlinear dynamics from lasers to butterflies, Eds. R. Ball and N. Akhmediev, World Scientific (2003)
C-55. Initial value problems and solutions of the Kadomstev-Petviashvili Equation M.J. Ablowitz and J. Villarroel, New trends in integrability and partial solvability Ed. A.B. Shabat, A. Gonzalez-Lopez, M. Manas, L. Martinez Alonzo and M.A. Rodriguez, NATO Science Series, II. Mathematics, Physics and Chemistry, Volume 32 (2004), p.1-48
C-56. Theory of carrier-envelope phase slip for ultra-short dispersion managed solitons, M.J.Ablowitz, B. Ilan and S. Cundiff, Technical Digest, Nonlinear Guided Waves and Their Applications, 2004.
C-57. Reduction of collision-induced timing jitter via periodic-group-delay dispersion-compensating modules in quasi-linear return-to-zero systems, M.J. Ablowitz, C. Ahrens, G. Biondini, S. Chakravarty and A. Docherty, Technical Digest, OSA Conference Nonlinear Optics: Mate- rials, Fundamentals and Applications, 2004.
C-58. Ablowitz-Kaup-Newell-Segur (AKNS) System, M.J. Ablowitz, Encyclopedia of Nonlinear Science, Routledge Publishing Co., NY, 2004.
C-59. Nonlinear Wave Propagation, M.J. Ablowitz Encyclopedia of Physics Eds. R.G. Lerner and G.L. Trigg, Wiley-VCH, Berlin, Germany, 2005.
C-60. Nonlinear Schr¨odinger Equations, M.J. Ablowitz and B. Prinari Encyclopedia of Mathe- matical Physics, Eds. J-P Francoise, G.N. Naber and S.T. Tsou, Elsevier, Academic press, Amsterdam, Netherlands, 2006.
C-61. Solitary waves from optics to fluid dynamics, M. J. Ablowitz, and A. Docherty, Frontiers of Applied Mathematics, Eds. D-T Hsieh, M. Zhang and W. Sun, World Scientific, p. 155-186,
2007.
C-62. Quantum-Noise Limit on the Linewidth of Frequency Combs, Boaz, Ilan, Mark J. Ablowitz, and Steven T. Cundiff, Accepted paper/presentation, Conference on Lasers and Electro- Optics (CLEO), CTuJ2, (2007).
C-63. Multidimensional solitons in irregular-lattice media, Boaz, Ilan, Mark J. Ablowitz, E. Schon- brun, and R. Piestun, Accepted paper/presentation, Conference on Nonlinear Photonics, Sept., (2007)
C-64 Nonlinear Schr¨odinger systems: continuous and discrete, M.J. Ablowitz and B. Prinari, Schol- arpedia, 3(8):5561 (2008)
C-65 Dispersive shock waves, M. A. Hoefer and M. J. Ablowitz, Scholarpedia, 4, 5562 (2009)
C-66. Nonlinear waves in optics and fluid dynamics, Mark. J. Ablowitz, Proceedings of the Inter- national conference on numerical analysis and applied mathematics, (2009).
C-67. Nonlocal reformulations of water and internal waves and asymptotic reductions, Mark. J. Ablowitz, Proceedings of the International conference on numerical analysis and applied mathematics (2009).
C-68. Nonlinear Dynamics of Bloch wave packets in honeycomb lattices, M. J. Ablowitz and Y. Zhu, Spontaneous Symmetry Breaking, Self-Trapping, and Josephson Oscillations in Nonlinear Systems, 1-26, Springer, Heidelberg (2013)
C-69. Direct observation of pseudospin-mediated vortex generation in photonic graphene, D. Song, L. Tang, Y. Zhu, M. Ablowitz, V. Paltoglou, N. K Efremidis, J. Xu, Z. Chen, OSA: CLEO: QELSFundamental Science, FM2D. 2 (2014)