New solutions for the modified generalized Degasperis–Procesi equation

摘要

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.