Symmetries and conservation laws for a sixth-order Boussinesq equation

E. Recio, M.L. Gandarias and M.S. Bruzón

Chaos, Solitons & Fractals, 2016, vol. 89, issue C, 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.

Keywords: Generalized Boussinesq equation; Conservation laws; Symmetries; Potential symmetries (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:89:y:2016:i:c:p:572-577

DOI: 10.1016/j.chaos.2016.03.029

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