Auxiliary equation method for solving nonlinear partial differential equations

作者:Sirendaoreji*; Sun J
来源:Physics Letters, Section A: General, Atomic and Solid State Physics , 2003, 309(5-6): 387-396.
DOI:10.1016/S0375-9601(03)00196-8

摘要

By using the solutions of an auxiliary ordinary differential equation, a direct algebraic method is described to construct several kinds of exact travelling wave solutions for some nonlinear partial differential equations. By this method some physically important nonlinear equations are investigated and new exact travelling wave solutions are explicitly obtained with the aid of symbolic computation.