Symmetries and conservation laws for a sixth-order Boussinesq equation

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...

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Bibliographic Details
Published in:Chaos, solitons and fractals solitons and fractals, 2016-08, Vol.89, p.572-577
Main Authors: Recio, E., Gandarias, M.L., Bruzón, M.S.
Format: Article
Language:English
Subjects:
Conservation laws
Generalized Boussinesq equation
Potential symmetries
Symmetries
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Summary: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.
ISSN:0960-0779
1873-2887
DOI:10.1016/j.chaos.2016.03.029