PDE Seminar - Dept of Mathematics, University of Houston

$UH$

$Department of Mathematics$

	PDE Seminar 646 PGH


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Dr. Sergey Belov
University of Houston

Smooth parametric dependence
in the semiclassical limit of completely integrable pde's
using the Riemann-Hilbert approach.

April 18, 2014
3-4 PM, 646 PGH

Abstract

In this talk we will discuss semiclassical limit of completely integrable nonlinear pde's (KdV, NLS, sine-Gordon). Our main focus will be a one dimensional focusing Nonlinear Schroedinger equation with cubic nonlinearity in the semiclassical limit. For this completely integrable system, the inverse scattering for the underlying linear non-selfadjoint Zakharov-Shabat system could be done using the Riemann-Hilbert problem (RHP) method. We will discuss parameter dependence of scalar RHPs and generalize the result for a wider class of general scalar RHPs. Joint work with S.Venakides.

David H. Wagner University of Houston --- Last modified: September 26 2017 - 05:42:22