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

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URI: http://hdl.handle.net/10498/21742

DOI: 10.3390/sym11081031

ISSN: 2073-8994

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Author/s
Recio Rodríguez, ElenaAuthority UCA; Garrido Letrán, Tamara MaríaAuthority UCA; Rosa Silva, Rafael de laAuthority UCA; Bruzón Gallego, María de los SantosAuthority UCA
Date
2019-08
Department
Matemáticas
Source
Symmetry 2019, 11(8)
Abstract
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.
Subjects
Lie symmetry; conservation law; double dispersion equation; Boussinesq equation
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  • Artículos Científicos [4216]
  • Articulos Científicos Matemáticas [140]
Atribución 4.0 Internacional
This work is under a Creative Commons License Atribución 4.0 Internacional

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