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New solutions for the modified generalized Degasperis-Procesi equation |
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| Authors: | Alvaro H Salas Cesar A Gómez S |
| Institution: | a Department of Mathematics, Universidad de Caldas, Manizales, Colombia b Department of Mathematics, Universidad Nacional de Colombia, Manizales, Colombia c Departament of Mathematics, Universidad Nacional de Colombia, Bogotá, Colombia d Department of Sciences, Universidad Central, Bogotá, Colombia e Department of Mathematics, Universidad Autónoma, Bogotá, Colombia |
| Abstract: | In this paper, using three distinct computational methods we obtain some new exact solutions for the generalized modified Degasperis-Procesi equation (mDP equation) ut-uxxt+(b+1)u2ux=buxuxx+uuxxx. We show the graph of some of the new solutions obtained here with the aim to illustrate their physical relevance. Mathematica is used. Finally some conclusions are given. |
| Keywords: | Extended tanh method Cole-Hopf transformation method Rational hyperbolic method Nonlinear differential equation Degasperis-Procesi equation mDP equation Camassa-Holm equation Traveling wave solution |
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