Symmetries and conservation laws for a sixth-order Boussinesq equation

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URI: http://hdl.handle.net/10498/33316

DOI: /10.1016/j.chaos.2016.03.029

ISSN: 0960-0779

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Author/s
Recio Rodríguez, ElenaAuthority UCA; Gandarias Núñez, María LuzAuthority UCA; Bruzón Gallego, María de los SantosAuthority UCA
Date
2016
Department
Matemáticas
Source
Chaos, Solitons and Fractals 89 (2016) 572–577
Abstract
This paper considers a generalization depending on an arbitrary function f ( u ) of a sixth- order Boussinesq equation which arises in shallow water waves theory. Interestingly, this equation admits a Hamiltonian formulation when written as a system. A classification of point symmetries and conservation laws in terms of the function f ( u ) is presented for both, the generalized Boussinesq equation and the equivalent Hamiltonian system.
Subjects
Generalized Boussinesq equation; Conservation laws; Symmetries; Potential symmetries
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Attribution-NonCommercial-NoDerivatives 4.0 Internacional
This work is under a Creative Commons License Attribution-NonCommercial-NoDerivatives 4.0 Internacional