Nonlinear Waves Seminar - Scott Strong

Oct. 16, 2018

Geometric Quantum Hydrodynamics and the Evolution of Vortex Lines he simplest manifestation of a circulatory field occurs when a vortex line breaks the simple connectivity of an otherwise irrotational fluid. Arnold's program tells us that the evolution of such a vortex is Hamiltonian with respect to the arclength. The simplest...

Nonlinear Waves Seminar - Gavriil Shchedrin

Oct. 9, 2018

A path from fractional Schrödinger equation to design and discovery of novel quantum materials Transport phenomena in multi-scale classical systems, such as disordered media, porous materials, and turbulent fluids, are characterized by multiple spatial and temporal scales, nonlocality, fractional geometry, and non-Gaussian statistics. Transport in multi-scale classical materials is described...

Nonlinear Waves Seminar - Ezio Iacocca

Sept. 25, 2018

Rapid soliton nucleation and dynamics in magnetic materials Magnetism in solid materials is a fascinating yet complex phenomenon that encompasses vastly different length and time scales. This complexity is typically resolved by establishing equations that are valid at different scales. For example, magnetic dynamics at the atomic level can be...

Nonlinear Waves Seminar - Amir Sagiv

Sept. 18, 2018

Prediction of random and chaotic dynamics in nonlinear optics The control and prediction of interactions between high-power, nonlinear laser beams is a longstanding open problem in optics and mathematics. One of the traditional underlying assumptions in this field has been that these dynamics are governed by a deterministic model. Lately,...

Nonlinear Waves Seminar - Peter Clarkson

June 13, 2018

Rational solutions of three integrable equations and applications to rogue waves In this talk I shall discuss rational solutions of three integrable equations, the Boussinesq equation, the focusing nonlinear Schrödinger (NLS) equation and the Kadomtsev-Petviashvili I (KPI) equation. The Boussinesq equation was introduced by Boussinesq in 1871 to describe the...

Nonlinear Waves Seminar - Lincoln Carr

April 24, 2018

Many-body quantum chaos of ultracold atoms in a quantum ratchet There are now over 200 quantum simulators on at least 8 separate architectures with long coherence times and controlled dynamics. These experimental systems have generated tremendous excitement about driven interacting quantum systems resulting in physics ranging from time crystals to...

Nonlinear Waves Seminar - Sergey Dyachenko

April 10, 2018

New Integrals of Motion and Singularities in 2D Fluid Dynamics with Free Surface We study the problem of 2D incompressible fluid dynamics with free surface, we assume the the fluid is ideal and the flow is potential. Following the conformal mapping technique we reformulate the problem to surface variables and...

Nonlinear Waves Seminar - Maximilian Ruth

March 20, 2018

The Role of Topology in Magnetic Solitary Wave Dynamics Topological solitary waves have recently attracted attention from applied mathematics and physics communities for both technological applications and novel phenomena. In the field of ferromagnetism, topological structures include the one-dimensional topological bion and the two-dimensional skyrmion. The topology is the result...

Nonlinear Waves Seminar - Anton Dzhamay

Feb. 27, 2018

Geometry of Discrete Integrable Systems Many interesting examples of discrete integrable systems can be studied from the geometric point of view. In this talk we will consider two classes of examples of such system: autonomous (QRT maps) and non-autonomous (discrete Painlevé equations). We introduce some geometric tools to study such...

Nonlinear Waves Seminar - Gino Biondini

Feb. 20, 2018

Nonlinear stage of modulational instability, solitons and coherent structures Modulational instability (or MI, a.k.a. the Benjamin-Feir instability in deep water waves), is the instability of a constant background to long-wavelength perturbations, and is a ubiquitous nonlinear phenomenon which arises in many different physical contexts. Even though MI was discovered in...

Pages