On a direct method of constructing multi-soliton solutions

DOI10.3792/pjaa.55.27zbMath0437.35061OpenAlexW1989680100MaRDI QIDQ1141295

Etsuro Date

Publication date: 1979

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.55.27

zbMATH Keywords

Korteweg-de Vries equationinverse scattering methodmulti-soliton solutionsSine-Gordon equationZakharov-Shabat equationsBoussinessq equationequation of motion of the Toda lattice

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Q99) Overdetermined problems for partial differential equations and systems of partial differential equations (35N99)

Related Items

Why the general Zakharov-Shabat equations form a hierarchy, Reflectionless Analytic Difference Operators III. Hilbert Space Aspects, On a construction of multi-soliton solutions of the Pohlmeyer-Lund-Regge system and the classical massive Thirring model, Deformation of linear ordinary differential equations. II, Monodromy preserving deformation and its application to soliton theory, Monodromy preserving deformation and its application to soliton theory. II, Reflectionless Analytic Difference Operators I. Algebraic Framework, On the (2+1)-Dimensional Extension of 1-Dimensional Toda Lattice Hierarchy, Darboux transformation and two-dimensional Toda lattice

Cites Work

• A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I
• Integration of nonlinear equations by the methods of algebraic geometry
• On the Toda Lattice. II: Inverse-Scattering Solution
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