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Zbl 1180.35447
Salas, Alvaro H.; Gómez S., Cesar A.; Castillo H., Jairo E.
New solutions for the modified generalized Degasperis-Procesi equation. (English)
[J] Appl. Math. Comput. 215, No. 7, 2608-2615 (2009). ISSN 0096-3003

Summary: Using three distinct computational methods we obtain some new exact solutions for the generalized modified Degasperis-Procesi equation (mDP equation) $u_t-u_{xxt}+(b+1)u^{2}u_x=bu_xu_{xx}+uu_{xxx}$. We show the graph of some of the new solutions obtained here with the aim to illustrate their physical relevance. Mathematica is used.

MSC 2000:: *35Q51 Solitons
35C07
35-04 Machine computation, programs (partial differential equations)
35A30 Geometric theory for PDE, transformations

Keywords: extended tanh method; Cole-Hopf transformation method; rational hyperbolic method; Degasperis-Procesi equation; Camassa-Holm equation; traveling wave solution

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