Inverse Scattering Method and Applications

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Abstract

We briefly introduce the applications of the inverse scattering method to some particular class of problems, which yield the exact solution or long time asymptotics in terms of the unique solution of a matrix Riemann-Hilbert problem formulated in the complex plane.

Keywords:

inverse scattering Riemann-Hilbert problem long-time asymptotics initial value problem (IVP) initial boundary value problem (IBVP).
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