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Journal of Applied Nonlinear Dynamics 4(2) (2015) 169--180 | DOI:10.5890/JAND.2015.06.006

M.S. Bruzón; M.L. Gandarias; R. de la Rosa

Department of Mathematics, University of Cádiz, Puerto Real, 11510 Cádiz, Spain

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Abstract

A study of a variable-coefficient Gardner equation is carried out. The subclasses of the equation which are nonlinear self-adjoint have been determined. Conservation laws have also been obtained using two different methods: the direct method of the multipliers and Ibragimov’s theorem based on nonlinear self-adjointness of the equation. It has shown that for this equation conservation laws obtained by using both methods are equivalent.

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