Homotopic Approximate Solutions for the General Perturbed Burgers-BBM Equation

摘要

In this work, the general perturbed Burgers-Benjamin-Bona-Mohany (BBM) equation with dissipative term is studied by using the homotopy perturbation method. Firstly, we obtain the solitary wave and trigonometric function solutions of the corresponding typical general unperturbed Burgers-BBM equation through the mapping deformation method, secondly, a homotopic mapping transform is constructed, then the approximate solution with arbitrary degree of accuracy for the disturbed equation is researched, it is pointed out that the series of approximate solution is convergent. Finally, some simulation about u_0 and u_(1hom) are given. Which shows that these approximate solutions have good accuracy.