Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
759022 | Communications in Nonlinear Science and Numerical Simulation | 2014 | 8 Pages |
Abstract
•The nonlinear self-adjointness of a system of dispersive evolution equations is proved.•The conservation laws associated to their Lie symmetries are established.•Exact solutions via conservation laws are obtained.
In this paper, we classify a (1+1)(1+1)-dimensional nonlinear system of dispersive evolution equations both from point of view of symmetries and nonlinear self-adjointness. Then, conservation laws are established from the property of nonlinear self-adjointness and from these we obtain exact solutions.
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Authors
R. Tracinà, M.S. Bruzón, M.L. Gandarias, M. Torrisi,