Initial value problems for a system of nonlinear equations on a half- line

DOI10.1007/BF01518364zbMath0829.35120MaRDI QIDQ1897856

Pham Loi Vu

Publication date: 15 January 1996

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

zbMATH Keywords

nonlinear Schrödinger equationinverse scattering methodscattering 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) Inverse problems for PDEs (35R30) NLS equations (nonlinear Schrödinger equations) (35Q55) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Cites Work

• The inverse scattering problem on a half-line with a non-selfconjugate potential matrix
• An initial-boundary value problem for the nonlinear Schrödinger equation
• The Korteweg–de Vries Equation, Posed in a Quarter-Plane
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