Travelling wave solutions in terms of special functions for nonlinear coupled evolution systems

摘要

We present a simple and effective transformation that decompose the solution of a coupled system into solving a set of algebraic equations and a first order ordinary differential equation of a certain unknown function. This method not only gives us a clear relation between unknown functions for a nonlinear coupled system, but also easily provides us with a series of new and more general travelling wave solutions in terms of special functions such as hyperbolic, rational, triangular, Weierstrass and Jacobi elliptic double periodic functions. (C) 2002 Elsevier Science B.V. All rights reserved. [References: 17]