Journal of Applied Nonlinear Dynamics
Conservation Laws of a Gardner Equation with Timedependent Coefficients
Journal of Applied Nonlinear Dynamics 4(2) (2015) 169180  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 variablecoefficient Gardner equation is carried out. The subclasses of the equation which are nonlinear selfadjoint 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 selfadjointness of the equation. It has shown that for this equation conservation laws obtained by using both methods are equivalent.
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