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Exact and numerical solutions of generalized Drinfeld-Sokolov equations. (English) Zbl 1220.74027

Summary: In this Letter, we consider a system of generalized Drinfeld-Sokolov (gDS) equations which models one-dimensional nonlinear wave processes in two-component media. We find some exact solutions of gDS by using tanh function method and we also obtain a numerical solution by using the Adomian’s decomposition method (ADM).

MSC:

74J30 Nonlinear waves in solid mechanics
74S30 Other numerical methods in solid mechanics (MSC2010)

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