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- Title
Hamiltonian Structure, Symmetries and Conservation Laws for a Generalized (2 + 1)-Dimensional Double Dispersion Equation.
- Authors
Recio, Elena; Garrido, Tamara M.; de la Rosa, Rafael; Bruzón, María S.
- 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
CONSERVATION laws (Physics); TRANSFORMATION groups; CONSERVATION laws (Mathematics); NONLINEAR equations; LAGRANGE equations; EQUATIONS; CONSERVED quantity
- Publication
Symmetry (20738994), 2019, Vol 11, Issue 8, p1031
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym11081031