Symmetries and soliton solutions of nonlinear equations

DOI10.1007/BF01017835zbMath0584.35006OpenAlexW2072207268MaRDI QIDQ1070418

A. N. Leznov, Vladimir I. Man'ko, Sergey M. Chumakov

Publication date: 1985

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01017835

zbMATH Keywords

Lie groupsoliton-type solutionsCartan-Maurer equation

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Partial differential equations of mathematical physics and other areas of application (35Q99) Solutions to PDEs in closed form (35C05)

Related Items

Exactly and completely integrable nonlinear dynamical systems

Cites Work

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• Ordinary second-order differential equations and soliton solutions connected with the algebra sl(2,\({\mathbb{C}})\)
• A new class of Lie algebras
• Method for Solving the Korteweg-deVries Equation