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(2+1)维Broer-Kaup-Kupershmidt方程组的行波解
Exact Travelling Wave Solutions of the(2+1)-dimensional Broer-Kaup-Kupershmidt Equations
【摘要】 借助于计算机代数系统Mathematica,利用推广的简单方程方法构造了(2+1)维Broer-Kaup-Kupershmidt方程组的新的精确行波解,分别以含有双参数的用双曲函数,三角函数和有理函数表示,其中双曲函数表.示的行波解中参数取特殊值时可得到文献已有的孤波解.方法也适用于其它非线性发展方程(组).
【Abstract】 In this paper,we successfully construct the new exact travelling wave solutions of the(2+l)-dimensional Broer-Kaup-Kupershmidt equations by using the extended simplest equation method and with the aid of computer algebra system Mathematiea.The exact travelling wave solutions with double arbitrary parameters,are expressed by the hyperbolic functions,the trigonometric functions and the rational functions respectively.When the parameters are taken as special values,some solitary wave solutions are derived from the hyperbolic function solutions.The method can be also used to solve other NLEEs.
【Key words】 extended simplest equation method; exact travelling wave solutions; (2+1)dimensional Broer-Kaup-Kupershmidt equations;
- 【文献出处】 数学的实践与认识 ,Mathematics in Practice and Theory , 编辑部邮箱 ,2015年16期
- 【分类号】O175
- 【被引频次】5
- 【下载频次】92