Conservation laws and exact solutions of a Generalized Benjamin–Bona–Mahony–Burgers equation

M.S. Bruzón, T.M. Garrido and R. de la Rosa

Chaos, Solitons & Fractals, 2016, vol. 89, issue C, 578-583

Abstract: The concept of nonlinear self-adjointness given by Ibragimov is applied to a Generalized Benjamin–Bona–Mahony–Burgers equation. Then, a nonlinear self-adjoint classification has been achieved. Moreover, some nontrivial conservation laws are constructed by using the multipliers method which does not require the use of a variational principle. Finally, by applying the modified simplest equation method we derive new travelling wave solutions.

Keywords: Partial differential equations; Nonlinear self-adjointness; Multipliers; Conservation laws; Exact solutions (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:89:y:2016:i:c:p:578-583

DOI: 10.1016/j.chaos.2016.03.034

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