Invariant variational principles and conservation laws for some nonlinear partial differential equations with variable coefficients part II |
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Institution: | 1. School of Mathematics and Information Sciences, Weifang University, Weifang 261061, PR China;2. Department of Mathematics, East China University of Science and Technology, Shanghai 200237, PR China |
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Abstract: | The conservation laws via Noether's theorem have been derived for a coupled system of nonlinear partial differential equations (NLPDEs) which modelling physical phenomena represented by the generalized Korteweg–de Vries equation, the variable coefficients nonlinear Korteweg–de Vries equation and the variable coefficients nonlinear Schrödinger's equation. For proving the efficiency of the technique under consideration the stable and unstable nonlinear Schrödinger's equations have been examined for the conservation laws. |
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