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- W2340720498 abstract "Abstract In this paper we study the generalized variable-coefficient Gardner equations of the form u t + A ( t ) u n u x + C ( t ) u 2 n u x + B ( t ) u x x x + Q ( t ) u = 0 . This class broadens out many other equations previously considered: Johnpillai and Khalique (2010), Molati and Ramollo (2012) and Vaneeva et al. (2015). The use of the equivalence group of this class allows us to perform an exhaustive study and a simple and clear formulation of the results. Some conservation laws are derived for the nonlinearly self-adjoint equations by using a general theorem on conservation laws. We also construct conservation laws by applying the multipliers method." @default.
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- W2340720498 date "2016-11-01" @default.
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- W2340720498 title "Equivalence transformations and conservation laws for a generalized variable-coefficient Gardner equation" @default.
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- W2340720498 doi "https://doi.org/10.1016/j.cnsns.2016.04.009" @default.
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