构造(2+1)维扩展浅水波方程的新奇精确解

Construction of Novel Exact Solutions for(2+1)-dimensional Extended Shallow Water Wave Equation

本文研究了(2+1)维扩展浅水波方程,通过变量变换得到双线性形式.基于符号计算,获得一类新奇精确解.这些解包含一个任意实函数φ(y),选择特殊的函数φ(y)得到了这些解的动态图,孤子传播表明含有φ(y)的孤子比没有φ(y)的孤子更一般,并且φ(y)可以影响孤子解的特征.

Under investigation in this paper is a(2+1)-dimensional extended shallow water wave equation.A bi-linear form is obtained through variable transformation and a novel type of exact solutions is derived based on symbolic computation.These solutions include an arbitrary real function φ(y),the selection of which produces a dynamic graph of these solutions.Discussions on the propagation of the solitons indicate that the soliton solutions with φ(y) are more general than those without φ(y),and φ(y) could affect the features of the soliton solutions.