PUBLICATIONS

BOOKS

- Solitons and the Inverse Scattering Transform, SIAM, Philadelphia, 425 pp., with M.J. Ablowitz, 1981 (also translated and published in Russian and in Japanese)

- Solitons and Coherent Structures, North Holland, Amsterdam, 487 pp., ed. by D.K. Campbell, A.C. Newell, J.R. Schrieffer & H. Segur, 1986

- Asymptotics Beyond All Orders, Plenum Press, New York, 389 pp., ed. by H. Segur, S. Tanveer & H. Levine, 1992

- Proceedings of the Conference on Water Waves. Theory and Experiment, World Scientific, Hackensack, NJ, 201 pp, ed by M.F. Mahmood, D. Henderson, H. Segur, 2010

RESEARCH ARTICLES

1. "Analytical Procedure for Determining Hydrogen Peroxide Exhaust Impingement Heating," Rep't GD/C-BTD65-116, General Dynamics/Convair, San Diego, CA, 1965

2. "Stratified Flow into a Contraction," (Ph.D. thesis) Rep't AS69-15, University of California, Berkeley, 1969

3. "A limitation on Long's model in stratified fluid flows," J. Fluid Mech., 48, pp. 161-179, 1971

4. "Method for Solving the Sine-Gordon Equation," Phys. Rev. Lett., 30, p. 1262, with M.J. Ablowitz, A.C. Newell & D.J. Kaup, 1973 (reprinted in "Series of Selected Papers in Physics," 59, by the Physical Soc. of Japan)

5. "Nonlinear Evolution Equations of Physical Significance," Phys. Rev. Lett., 31, p. 125, with M.J. Ablowitz, A.C. Newell & D.J.Kaup, 1973 (reprinted in "Series of Selected Papers in Physics," 59, by the Physical Soc. of Japan)

6. "The Korteweg-deVries equation and water waves, Part I: Solutions of the equation," J. Fluid Mech., 59, p. 721, 1973

7. "The Korteweg-deVries equation and water waves, Part II: Comparison with experiments," J. Fluid Mech., 65, pp. 289-314, with J.L. Hammack, 1974

8. "An Alternative Method to Solve the Korteweg-deVries Equation?," in Nonlinear Wave Motion, ed. by A.C. Newell, AMS Lect. in App. Math., 15, 1974

9. "The Inverse Scattering Transform - Fourier Analysis for Nonlinear Problems," Stud. App. Math., 53, pp. 249-315, with M.J. Ablowitz, A.C. Newell & D.J.Kaup, 1974 (reprinted in "Series of Selected Papers in Physics," 73, by the Physical Soc. of Japan)

10. "The Inverse Scattering Transform: Semi-Infinite Interval," J. Math. Phys., 16, p. 1054, with M.J. Ablowitz, 1975

11. "Linear vs. Nonlinear Water Waves," Proc. of Ocean Engin. III, with J.L. Hammack, 1976

12. "Asymptotic Solutions and Conservation Laws for the Nonlinear Schrodinger Equation, I," J. Math. Phys., 17, p. 710, with M.J. Ablowitz, 1976

13. "Asymptotic Solutions and Conservation Laws for the Nonlinear Schrodinger Equation, II," J. Math. Phys., 17, p. 714, 1976

14. "Exact Linearization of a Painlevé Transcendent, Phys. Rev. Lett., 38, p. 1103, with M.J. Ablowitz, 1977

15. "Asymptotic Solutions for the Korteweg-deVries Equation," Stud. App. Math., 57, pp. 13-44, with M.J. Ablowitz, 1977

16. "The Korteweg-deVries equation and water waves, Part III: Oscillatory waves," J. Fluid Mech., 84, p. 337, with J.L. Hammack, 1978

17. "Modelling criteria for long water waves," J. Fluid Mech., 84, p. 359, with J.L. Hammack, 1978

18. "Solitons as Approximate Descriptions of Physical Phenomena," Rocky Mtn. J. Math., 8, p. 15, 1978

19. "Nonlinear Evolution Equations and Ordinary Differential Equations of Painlevé Type," Lett. Nuovo Cim., 23, p. 333, with M.J. Ablowitz & A. Ramani, 1978

20. "On the evolution of packets of water waves," J. Fluid Mech., 92, p. 691, with M.J. Ablowitz, 1979

21. "Ordinary Differential Equation of Painlevé Type and the Inverse Scattering Transform," in Math. Methods & Appl. of Scattering Theory, ed. by J.A. DeSanto, A.W. Seanz & W.W. Zachery, Lect. Notes in Physics, 130, SpringerVerlag, NY, 1979

22. "A Note on Miura's Transformation," J. Math. Phys., 20, p. 999, with M.J. Ablowitz & M.D. Kruskal, 1979

23. "Long Internal Waves in Fluids of Great Depth," Stud. App. Math., 62, p. 249, with M.J. Ablowitz, 1980

24. "A Connection Between Nonlinear Evolution Equations and Ordinary Differential Equations of P-Type I," J. Math. Phys., 21, pp. 715-721, with M.J. Ablowitz & A. Ramani, 1980

25. "A Connection Between Nonlinear Evolution Equations and Ordinary Differential Equations of P-Type II," J. Math. Phys., 21, p. 1006-1015, with M.J. Ablowitz & A. Ramani, 1980

26. "Resonant Interactions Between Surface and Internal Gravity Waves," Phys. of Fluids, 23, p. 2556, 1980

27. "Asymptotic Solutions of Nonlinear Evolution Equations and a Painlevé Transcendent," Physica, 3D, p. 165, with M.J. Ablowitz, 1981

28. "Viscous Decay of Envelope Solitons in Water Waves," Phys. of Fluids, 24, p. 2372, 1981

29. "Solitons and the Inverse Scattering Transform," in Proc. of International School of Physics "Enrico Fermi", Course LXXX (1980), ed. by A.R. Osborne & P.M. Rizzoli, North Holland, Amsterdam, 1982

30. "On the Periodic Intermediate Long Wave Equation," J. Phys.A, 15, p. 781, with M.J.Ablowitz, A. Fokas, & J. Satsuma, 1982

31. "Soliton models of long internal waves," J. Fluid Mech., 118, p. 285, with J.L. Hammack, 1982

32. "Integrable Hamiltonian Systems and the Painlevé Property," Phys. Rev. A, 3rd series, 25, p. 1257, with T. Bountis & F. Vivaldi, 1982

33. "Viscous Decay of Long Internal Solitary Waves," Phys. of Fluids, 25, p. 942, with C. Leone & J.L. Hammack, 1982

34. "Comments of Inverse Scattering for the Kadomtsev-Petivashvili Equation," in Math. Methods in Hydrodyn. & Integrability in Dynam. Syst., A.I.P. Conf. Proc. #88, ed. by M. Tabor & Y.M. Treve, p. 211, 1982

35. "Logarithmic Singularities and Chaotic Behaviour in Hamiltonian Systems," in Math. Methods in Hydrodyn. & Integrability in Dynam. Syst., A.I.P. Conf. Proc. #88, ed. by M. Tabor & Y.M. Treve, with T. Bountis, 1982

36. "Wobbling Kinks in φ4 and Sine-Gordon Theory," J. Math. Phys., 24, p. 1439, 1983

37. "Integrable Models of Shallow Water Waves," in Nonlinear Phenomena, Lect. Notes in Phys #189, ed. by K.B. Wolf, Springer-Verlag, NY, p. 212, 1983

38. "Towards a New Kinetic Theory of Resonant Triads," Contem. Math., 28, p. 281, 1984

39. "An Analytical Model of Periodic Waves in Shallow Water," Stud. App. Math., 73, pp. 183-220, with A. Finkel, 1985

40. "Basic Form for Riemann Matrices," in Nonlinear Syst. of PDEs in App. Math., ed by B. Nicolaenko, D.D. Holm & J.M. Hyman, AMS Lect. in App. Math., 23, p. 47, with A. Finkel, 1986

41. "Some Open Problems," Physica, 18D, p. 1, 1986

42. "Nonexistence of Small-Amplitude Breather Solutions in φ4 Theory," Phys. Rev. Lett., 58, p. 747, with M.D. Kruskal, 1987

43. "The KP Equation and Biperiodic Water Waves," in Nonlinear Evolutions, ed by J. Leon, World Scient., Singapore, p. 517, with J.L. Hammack & N.W. Scheffner, 1987

44. "Asymptotics Beyond All Orders," in Trans of 5th Army Conf. on App. Math & Comp., ARO Rep't 88-1, p. 369, 1988

45. "Two-dimensional Periodic Waves in Shallow Water," J. Fluid Mech., 209, pp. 567-589, with J.L.Hammack & N. Scheffner, 1989

46. "Solitons," in Encyclopedia of Physics, 2nd Ed., ed. by G. Trigg & R. Lerner, VCH Pub., NY, p. 1154, 1991

47. "Stem Waves Along Breakwater", a Discussion, ASCE J. Waterway, Port, Coastal & Ocean Eng., 115, pp. 542-543, with J.L. Hammack & N.W. Scheffner, 1991

48. "A note on the generation and narrowness of periodic rip currents", J. Geo. Res., 96, pp. 4909-4914, with J.L. Hammack & N.W. Scheffner, 1991

49. "The Kadomtsev-Petviashvili equation and water waves," in Proc. of Chaos & Order, ed. by N. Joshi & R. Dewar, World Sci., Singapore, pp. 109-120, with J. Hammack & N. Scheffner, 1991

50. "Who cares about integrability?", Physica D, 51, pp.343-359, 1991

51. "Asymptotics Beyond All Orders in a Model of Crystal Growth", Stud. App. Math., 85, pp. 129-182, with M.D. Kruskal, 1991

52. "Periodic Waves in Shallow Water", Proc. of Int.School of Physics "Enrico Fermi", Course CIX (1988), ed. by A.R. Osborne, North Holland, Amsterdam, pp. 891-914, with J. Hammack & N. Scheffner, 1991

53. "An asymptotic symmetry of the rapidly forced pendulum", Physica D, 51, pp. 109-118, with Chang Y.-H., 1991

54. "An overview of the geometric model", in Asympotics Beyond All Orders, ed. by H. Segur, S. Tanveer, & H. Levine, Plenum Press, pp. 29-36, 1992

55. "A new formulation for dendritic crystal growth in two dimensions", Asympotics Beyond All Orders, ed. by H. Segur, S. Tanveer, & H. Levine, Plenum Press, pp. 87-104, with E.A. Coutsias, 1992

56. "A new Hamiltonian amplitude equation governing modulated wave instabilities", J. Phys. Soc. Japan, 61, pp. 1187-1193, with M. Wadati & M.J. Ablowitz, 1992

57. "On integrability and the motion of curves", Phys. Rev. Lett., 69, pp. 2603-2606, with K. Nakayama & M. Wadati, 1992

58. "Asymptotics Beyond All Orders - A Survey", Chaos in Australia, ed. by G. Brown & A. Opie, World Scientific, Singapore, pp. 150-172, 1993

59. "Analysis of a Hamiltonian Amplitude Equation", J. Phys. Soc. Japan, 62, pp. 1927-1931,with C.C. Chow & S.J. Fromm, 1993

60. "Wave Collapse and Instability of Solitary Waves of a Generalized KadomtsevPetviashvili Equation", Physica D78, pp. 241-265, with X.P. Wang & M.J. Ablowitz, 1994

61. "A note on the motion of surfaces", Phys. Lett. A, 194, pp. 165-172, with R. McLachlan, 1994

62. "Two-dimensional periodic waves in shallow water, part 2: asymmetric waves", J. Fluid Mech., 285, pp. 95-122, with J.L. Hammack, D. McCallister, & N. W. Sheffner, 1995

63. "A generalized stability criterion for resonant triad interactions", J. Fluid Mech., 319, pp. 67-76, with C. Chow & D. Henderson, 1996

64. "A Discrete Curve-Shortening Equation", Methods and Appl. of Analysis, 4, pp. 162-172, with K. Nakayama & M. Wadati, 1997

65. "Three-phase solutions of the Kadomtsev-Petviashvili equation", Studies in Applied Math., 99, pp. 137-203, with B.A. Dubrovin & R. Flickinger, 1997

66. "Motion of curves specified by accelerations", Physics Letters A, 224, pp. 253- 263, with T. Tsurumi, K. Nakayama, & M.Wadati, 1997

67. "The KP equation with quasiperiodic initial data", Physica D 123, pp. 123-152, with B. Deconinck, 1998

68. "Oceanic Storm Waves near Shore", submitted for publication, with J.H. Curry, J.L. Hammack, C.E. Long, & N.W. Scheffner, 1997

69. "The motion of a falling liquid filament", Phys. Fluids, 12, p. 550-567, with L. Smolka, M. Wadati, & D. Henderson, 2000

70. "Evolution of a Tracer Gradient in an Incompressible, Two-dimensional Flow", in IUTAM Symp.: Developments in Geophys. Turbulence, ed. by R.M. Kerr & Y. Kimura, Kluwer Pub., pp. 143-150, 2000

71. "Pole Dynamics for Elliptic Solutions of the Korteweg-de Vries Equation", Math. Phys., Anal. & Geom., 3, pp. 49-74, with B. Deconinck, 2000

72. ”Instabilities in the two-dimensional cubic nonlinear Schrodinger equation”, Phys. Rev. E 68, 045601, with J.D. Carter, 2003

73. “Progressive waves with persistent, two-dimensional surface patterns in deep water”, J Fluid Mech., 532, pp. 1-51, with J.L. Hammack & D.M. Henderson, 2005

74. “Stabilizing the Benjamin-Feir instability”, J Fluid Mech., 539, pp. 229-271, with D. Henderson, J.D. Carter, J. Hammack, C-M Li, D. Pheiff, K Socha, 2005

75. “Can the Benjamin-Feir instability spawn a rogue wave?”, with D.M. Henderson & J.L. Hammack, Proceedings of the 14th Aha Huliko’a Winter Workshop, on Rogue Waves, ed. by P. Müller & D. Henderson, 2005

76. “On the laboratory generation of two-dimensional, progressive surface waves of nearly permanent form on deep water”, J. Fluid Mech, 559, pp. 412-427, with D.M.Henderson & M. Patterson, 2006

77. “Stable, three-dimensional waves of nearly permanent form on deep water”, Math. & Computers in Simulation, doi: 10.1016/j.matcom, with W. Craig, D.M. Henderson & M. Oscamou, 2006

78. “Waves in shallow water, with emphasis on the tsunami of 2004”, in Tsunami and nonlinear waves, ed. by A Kundu, Springer GeoSc., pp. 3-30, 2007

79. “Integrable models of waves in shallow water”, in Probability, Geometry and Integrable Systems, MSRI Publication 55, pp. 307-333, 2008

80. “Finite–dimensional pole dynamics of solutions of the viscous Burgers equation”, J. Physics A:Math.Theor. 40, 5459-5467, with B. Deconinck & Y. Kimura, 2007

81. “The modulational instability revisited”, Euro. Phys. Journal, 147, 25-43, with D.M. Henderson, 2007

82. “Explosive instability due to 4-wave mixing”, Phys. Rev. Lett., 99, DOI: 10.1103/PhysRevLett.99.245004, with B.R. Safdi, 2007

83. “Stable deep-water waves propagating in one and two dimensions”, Proc. in Appl. Math. & Mech., 7, pp. 1101401-1101402, with D. Henderson, 2007

84. “Explosive instability due to 3-wave or 4-wave mixing, with or without dissipation”, Analysis & Applications, 6, pp. 1-16, 2008

85. “Demonstration experiments in the NSF-CBMS Regional Conference on Water Waves”, Conf. Proc. on Water Waves, Theory and Experiment, World Scientific, New Jersey, pp. 191-201, with D. Henderson, R. Geist & K. Hammack, 2010

86. ”Experimental evidence of stable wave patterns on deep water”, J. Fluid Mech., 658, pp. 247-278, with D.M. Henderson & J.D.Carter, 2010

87. “The Benjamin-Feir Instability and Propagation of Swell across the Pacific”, Math. & Computers in Simul., 82, pp. 1172-1184 with Diane Henderson, 2012

88. “Seismically generated tsunamis”, Phil. Trans. Royal Soc. London A, 370, pp. 1505-1542, doi: 10.1098/rsta.2011.0457, with D. Arcas, 2012

89. “The role of dissipation in the evolution of ocean swell”, J. Geophys. Res. – Oceans, 118, pp. 5074-5091, doi:10.1002 jgrc.20324, with D.M. Henderson, 2013

90. “Dissipation of narrow-banded surface water waves”, Fields Institute Comm., 75, pp. 163-183, with D. Henderson & G.K. Rajan, 2015

91. “Toward a general solution of the three-wave partial differential equations”, to appear in Studies in Applied Mathematics, with R.A. Martin, 2016

INVITED LECTURES

Given in the U.S., Austria, Australia, Canada, China, Denmark, France, Germany, Great Britain, Greece, India, Italy, Japan, Mexico, Poland, South Africa, Spain and the former U.S.S.R.

INVITED LECTURES AT RECENT CONFERENCES (SINCE 2007)

1. Japan Physical Society meeting in honor of Prof. Miki Wadati, February 13-17, 2007

2. 5th IMACS Conference on Nonlinear Evolution Equations and Wave Phenomena, U. of Georgia, Athens, GA, April 16-19, 2007

3. NEEDS (Nonlinear Evolution Equations and Dynamical Systems) Conference, Barcelona, Spain, June 18-22, 2007

4. PIMS (Pacific Institute for Mathematical Sciences) Conference on Waves in Atmosphere and Oceans, April 25-27, 2008

5. NSF-CBMS Regional Conference on “Water Waves: Theory and Experiment” (10 lectures), Howard University, Washington, DC, May 13-18, 2008

6. SIAM International conference, Rome, Italy, July 21-24, 2008

7. 6th IMACS Conference on Nonlinear Evolution Equations and Wave Phenomena, U. of Georgia, Athens, GA, April 13-16, 2009

8. GFD (geophysical fluid dynamics) Summer Program (11 lectures), Woods Hole Oceanographic Institute, Woods Hole, MA, June 15 – August 21, 2009

9. “Frontiers in Nonlinear Waves”, University of Arizona, Tucson, AZ, March 26-30, 2010

10. NSF-CBMS Regional Conference on “Nonlinear Water Waves”, University of Texas/Pan-American, Edinburg, TX, May 17-21, 2010

11. Conference on “Symmetry plus Integrability:, San Padre Island, TX, June 10-14, 2010

12. Wave Phenomena IV, “Waves in fluids from microscopic to the planetary scale”, University of Alberta, Edmonton, Alberta, Canada, June 14-18, 2010

13. 7th IMACS Conference on Nonlinear Evolution Equations and Wave Phenomena, U. of Georgia, Athens, GA, April 4-7, 2011

14. “Conference on Nonlinear Water Waves”, Erwin Schrödinger Institute, Vienna, Austria, May 16-17, 2011

15. “Mathematics of Extreme Sea Waves: Tsunamis, Rogue Waves and Flooding”, The Fields Institute, Toronto, Ontario, Canada, June 13-16, 2011

16. SIAM Conference on Nonlinear Waves, U. of Washington, Seattle, WA, June. 13-16, 2012

17. Burgers School on “Nonlinear Water Waves”, June 6-10, 2016, U. of Maryland, College Park, MD –One of six Instructors in the week-long course

SCIENTIFIC ORGANIZING COMMITTEES (since 2006)

1. Advisory Committee: International Workshop on Tsunami and Nonlinear Waves, Calcutta, India, March 6-10, 2006

2. Organizing Committee: NSF-CBMS Regional Conference on “Water Waves: Theory and Experiment”, Howard University, Washington DC, May 13-18, 2008

3. Organizing Committee: Geophysical Fluid Dynamics Summer Program, Woods Hole Oceanographic Institute, Woods Hole, MA, July 15-August 21, 2009

4. Scientific Committee, 7th IMACS Conference on Nonlinear Evolution Equations and Wave Phenomena, U. of Georgia, Athens, GA, April 4-7, 2011

5. Scientific Committee, 8th IMACS Conference on Nonlinear Evolution Equations and Wave Phenomena, U of Georgia, Athens, GA, March 24-28, 2013

RESEARCH CONTRACTS

Principal or Co-Principal Investigator on various contracts with the U.S. Army Research Office (Mathematics), the Department of Energy (Applied Mathematical Sciences), the U.S. National Science Foundation (Geophysics, Mathematics, Special Programs, Focused Research Group, VIGRE, MCTP, CCLI), NATO (Scientific Affairs Division), and the U.S. Office of Naval Research (Fluid Mechanics, Physics).