组合KdV与MKdV方程的显式精确解

Exact and Explicit Solutions to the Combined KdV and MKdV Equation

本文通过直接代数方法与假设方法的一种结合，求出了组合ＫｄＶ和ＭＫｄＶ方程的一些显式精确行波解．

Abstract Some explicit and exact travelling wave solutions to the Combined KdV and mKdV equation are presented through two ansatze.The method in this paper is a combination of the direct method and the ansatze method.The method and the result in this paper are all new.