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Abstract:
Recently we have celebrated the 50th anniversary of the discovery of the Inverse Scattering Transform method for the soliton equations. In the last half century the research on solitary waves and solitons remains one of the most vibrant areas of mathematics and physics. The proposed session will cover talks dedicated to the development of both analytical and numerical methods for some well known integrable PDEs (Nonlinear Scroedinger equation, Camassa-Holm equation etc.) as well as related integrable equations and their multicomponent generalizations. Another accent of the session will be numerical approaces to nonintegrable dynamical systems like generalized Schrodinger equations, Boussinesq Paradigm, etc.
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