耦合Kaup-Kupershmidt方程显式行波解  

Explicit Solutions of the Coupled Kaup-Kupershmidt Equations

作　　者：王辉 WANG Hui(College of Science,Henan University of Engineering,Zhengzhou 451191,China)

机构地区：[1]河南工程学院理学院

出　　处：《数学的实践与认识》2019年第21期251-256,共6页Mathematics in Practice and Theory

基　　金：国家自然科学基金项目(11801144,11701147)

摘　　要：主要利用tanh函数方法,对耦合Kaup-Kupershmidt方程进行了讨论,通过行波约化及Riccati方程,将两个五阶的非线性演化方程转化为两个包含若干参变量的代数系统,借助于Mathematica软件符号运算功能,最终得到了上述耦合方程的显式行波解,包括类孤子解,三角函数周期解以及有理解.In this paper,Coupled Kaup-Kupershmidt Equations are studied by using the tanh function method.By traveling wave reduction,two fifth-order nonlinear evolution equations are transformed into ODEs.Combining with the properties of Riccati equation,an algebraic system of some parameters is obtained.With the help of Mathematica symbolic computing function,the explicit traveling wave solutions of the above equation,including soliton-like solutions,triangular periodic solutions and rational solutions,are finally obtained.

关 键 词：tanh函数 耦合Kaup-Kupershmidt方程 行波解 

分 类 号：O17[理学—数学]