Hamiltonian Structure, Symmetries and Conservation Laws for a Generalized (2 + 1)-Dimensional Double Dispersion Equation

Autor:	Elena Recio, Tamara M. Garrido, Rafael de la Rosa, María S. Bruzón
Jazyk:	angličtina
Rok vydání:	2019
Předmět:	Lie symmetry conservation law double dispersion equation Boussinesq equation Mathematics QA1-939
Zdroj:	Symmetry, Vol 11, Iss 8, p 1031 (2019)
Druh dokumentu:	article
ISSN:	2073-8994 11081031
DOI:	10.3390/sym11081031
Popis:	This paper considers a generalized double dispersion equation depending on a nonlinear function f ( u ) and four arbitrary parameters. This equation describes nonlinear dispersive waves in 2 + 1 dimensions and admits a Lagrangian formulation when it is expressed in terms of a potential variable. In this case, the associated Hamiltonian structure is obtained. We classify all of the Lie symmetries (point and contact) and present the corresponding symmetry transformation groups. Finally, we derive the conservation laws from those symmetries that are variational, and we discuss the physical meaning of the corresponding conserved quantities.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/db23baf971834d249085e9d8828f23b7 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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