用扩展的Jacobi椭圆函数展开法求解RLW方程

摘要

利用扩展的Jacobi椭圆函数展开法研究了RLW方程,并获得了一些与现有文献解的表达式不同的精确解.当模数m→1或m→0时,这些解退化为相应的孤立波解或周期波解,从而丰富了相关文献中关于RLW方程的孤波解和周期波解.%Based on the extended Jacobi elliptic function expansion method, the RLW equation is studied and some exact solutions are obtained. The expressions of these solutions are different from those in the existing references. When the modulus m→1 or m→0, these solutions degenerate into solitary wave solutions or periodic wave solutions. Thus,solitary wave solutions and periodic wave solutions of RLW equation in corresponding to literatures have been enriched.