The bi-Hamiltonian structure of some nonlinear fifth- and seventh-order differential equations and recursion formulas for their symmetries and conserved covariants

DOI10.1063/1.525376zbMath0489.35029OpenAlexW2093185732MaRDI QIDQ3950918

Walter Oevel, Benno Fuchssteiner

Publication date: 1982

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.525376

zbMATH Keywords

symmetriesconserved quantitiestraveling wave solutionsinfinitesimal generatorsmultisoliton solutionsbi-Hamiltonian formulationCaudrey-Dodd-Gibbon-Sawada-Kotera equationKuperschmidt equationLie algebras of the symmetry groupsnonlinear fifth-and seventh-order partial differential equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear higher-order PDEs (35G20) Lie algebras of Lie groups (22E60) Partial differential equations of mathematical physics and other areas of application (35Q99)

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