Cauchy problems for a system of non-linear equations and for the non-linear Schrodinger equation

DOI10.1088/0266-5611/10/2/015zbMath0797.35150OpenAlexW2007164558MaRDI QIDQ4290713

Pham Loi Vu

Publication date: 18 October 1994

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/10/2/015

zbMATH Keywords

inverse scattering problemscattering dataexact soliton solution

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

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The description of reflection coefficients of the scattering problems for finding solutions of the Korteweg–de Vries equations

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