Explicit solutions of boundary-value problems for \((2+1)\)-dimensional integrable systems

DOI10.1134/S0001434613030024zbMath1307.35269MaRDI QIDQ351620

V. L. Vereshchagin

Publication date: 8 July 2013

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

boundary-value problemdressing methodLax representationToda chaininverse scattering methodsoliton solutionKadomtsev-Petviashvili equation\((2+1)\)-dimensional integrable systemsGelfand-Levitan-Marchenko equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Solutions to PDEs in closed form (35C05) Soliton solutions (35C08)

Cites Work

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• The reduction problem and the inverse scattering method
• Boundary conditions for integrable equations
• A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I
• Boundary conditions for multidimensional integrable equations
• Kadomtsev-Petviashvili equation on the half-plane
• Integrable boundary value problems for elliptic type Toda lattice in a disk
• Boundary conditions for integrable equations

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