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INVERSE SCATTERING METHOD AND APPLICATIONS |
Boling Guo,Shuyan Chen |
(Institute of Applied Physics and Computational Mathematics, Beijing 100088, PR China) |
DOI: |
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. |
Key words: inverse scattering; Riemann-Hilbert problem; long-time asymptotics; initial value problem (IVP); initial boundary value problem (IBVP) |