The presentation of explicit analytical solutions of a class of nonlinearevolution equations

摘要

In this paper, we introduce a function set 52,. There is a conjecture that an arbitrary explicittravelling-wave analytical solution of a real constant coefficient nonlinear evolution equa-tion is necessarily a linear (or nonlinear) combination of the product of some elements in_m.A widespread applicable approach for solving a class of nonlinear evolution equationsis established. The new analytical solutions to two kinds of nonlinear evolution equationsare described with the aid of the guess.