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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) ${u}_{t}-{u}_{xxt}+\left(b+1\right){u}^{2}{u}_{x}=b{u}_{x}{u}_{xx}+u{u}_{xxx}$. We show the graph of some of the new solutions obtained here with the aim to illustrate their physical relevance. Mathematica is used.
##### MSC:
 35Q51 Soliton-like equations 35C07 Traveling wave solutions of PDE 35-04 Machine computation, programs (partial differential equations) 35A30 Geometric theory for PDE, characteristics, transformations
##### References:
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