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New solutions for the modified generalized Degasperis-Procesi equation. (English) Zbl 1180.35447
Summary: Using three distinct computational methods we obtain some new exact solutions for the generalized modified Degasperis-Procesi equation (mDP equation) u t -u xxt +(b+1)u 2 u x =bu x u xx +uu xxx . We show the graph of some of the new solutions obtained here with the aim to illustrate their physical relevance. Mathematica is used.
MSC:
35Q51Soliton-like equations
35C07Traveling wave solutions of PDE
35-04Machine computation, programs (partial differential equations)
35A30Geometric theory for PDE, characteristics, transformations
References:
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