On double reductions from symmetries and conservation laws for a damped Boussinesq equation

M.L. Gandarias and M. Rosa

Chaos, Solitons & Fractals, 2016, vol. 89, issue C, 560-565

Abstract: In this work, we study a Boussinesq equation with a strong damping term from the point of view of the Lie theory. We derive the classical Lie symmetries admitted by the equation as well as the reduced ordinary differential equations. Some nontrivial conservation laws are derived by using the multipliers method. Taking into account the relationship between symmetries and conservation laws and applying the double reduction method, we obtain a direct reduction of order of the ordinary differential equations and in particular a kink solution.

Keywords: Lie symmetries; Exact solutions; Partial differential equations; Conservation laws (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:89:y:2016:i:c:p:560-565

DOI: 10.1016/j.chaos.2016.03.030

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