A multiple exp-function method for nonlinear differential equations and its application
Exactly Solvable and Integrable Systems
2015-05-20 v1 Mathematical Physics
math.MP
Abstract
A multiple exp-function method to exact multiple wave solutions of nonlinear partial differential equations is proposed. The method is oriented towards ease of use and capability of computer algebra systems, and provides a direct and systematical solution procedure which generalizes Hirota's perturbation scheme. With help of Maple, an application of the approach to the dimensional potential-Yu-Toda-Sasa-Fukuyama equation yields exact explicit 1-wave and 2-wave and 3-wave solutions, which include 1-soliton, 2-soliton and 3-soliton type solutions. Two cases with specific values of the involved parameters are plotted for each of 2-wave and 3-wave solutions.
Cite
@article{arxiv.1010.3324,
title = {A multiple exp-function method for nonlinear differential equations and its application},
author = {Wen-Xiu Ma and Tingwen Huang and Yi Zhang},
journal= {arXiv preprint arXiv:1010.3324},
year = {2015}
}
Comments
12 pages, 16 figures