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Abstract:
Nonlinear waves are of great importance in various physical applications ranging from optics to fluids, to mention a few. Nonlinear waves can be described by non-integrable and integrable PDEs. One of the most important solution of the nonlinear PDEs is a solitary wave, stability of which is a fundamental problem of analysis and applications. Many analytical methods to study stability of solitary waves have been developed and improved significantly in the past decades. In our session, we focus on stability questions for solitary waves in both non-integrable and integrable dispersive PDEs. The list of nonlinear PDEs includes the generalized derivative nonlinear Schrodinger equation, the Zakharov-Kuznetsov equation, the water wave equations, among the others.
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