Symmetries and conservation laws for a generalization of Kawahara equation

DOI10.1016/j.geomphys.2019.103579OpenAlexW2996379788WikidataQ126563635 ScholiaQ126563635MaRDI QIDQ2173819

J. Vašíček

Publication date: 17 April 2020

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.02863

zbMATH Keywords

conservation lawsintegrabilitysymmetriesHamiltonian structuresformal symmetries

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Symmetries, invariants, etc. in context of PDEs (35B06) General theory of infinite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, conservation laws (37K06)

Related Items (3)

Complete classification of local conservation laws for generalized Cahn–Hilliard–Kuramoto–Sivashinsky equation ⋮ Generalized symmetries and conservation laws of (1 + 1)-dimensional Klein–Gordon equation ⋮ Symmetry nonintegrability for extended \(K(m, n, p)\) equation

Uses Software

• Jets

Cites Work

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• Geometry of jet spaces and integrable systems
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• Symmetries and conservation laws for the Karczewska-Rozmej-Rutkowski-Infeld equation
• Nonlinear self-adjointness of a generalized fifth-order KdV equation
• Symmetries of Differential Equations and the Problem of Integrability
• The symmetry approach to the classification of non-linear equations. Complete lists of integrable systems
• On the symmetries of evolution equations
• A symmetry approach to exactly solvable evolution equations
• A complete list of conservation laws for non-integrable compacton equations ofK(m,m) type
• Group classification of variable coefficient generalized Kawahara equations

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