On symmetries and conservation laws of a Gardner equation involving arbitrary functions

R. de la Rosa, M.L. Gandarias and M.S. Bruzón

Applied Mathematics and Computation, 2016, vol. 290, issue C, 125-134

Abstract: In this work we study a generalized variable-coefficient Gardner equation from the point of view of Lie symmetries in partial differential equations. We find conservation laws by using the multipliers method of Anco and Bluman which does not require the use of a variational principle. We also construct conservation laws by using Ibragimov theorem which is based on the concept of adjoint equation for nonlinear differential equations.

Keywords: Adjoint equation to nonlinear equations; Conservation laws; Multipliers; Partial differential equations; Symmetries (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:290:y:2016:i:c:p:125-134

DOI: 10.1016/j.amc.2016.05.050

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