扩展的Sinh-Gordon方程展开法与Kaup-Kupershmidt方程的Jacobi椭圆函数解  

Extended Sinh-Gordon equation-expansion method and solutions to Kaup-Kupershmidt equation with Jacobi elliptic function

作　　者：王倩[1] 陈晓燕[1] 

机构地区：[1]西北大学数学系,陕西西安710127

出　　处：《纯粹数学与应用数学》2013年第2期159-163,184,共6页Pure and Applied Mathematics

基　　金：国家自然科学基金(10671156)

摘　　要：利用扩展的Sinh-Gordon方程展开法研究了Kaup-Kupershmidt方程的Jacobi椭圆函数解,此方法也适用于求解其他非线性演化方程,从而丰富了方程解的范围.The paper tends to introduce the extended Sinh-Gordon equation-expansion method which is a convenient tool in solving equations, and the solutions to Kaup-Kupershmidt equation with Jacobi elliptic function can be derived by this method. Furthermore, the related famous equations can also be derived by the method above, which has enriched solutions of them

关 键 词：扩展的Sinh—Gordon方程展开法 Kaup—Kupershmidt方程 JACOBI椭圆函数解 三角函数解 

分 类 号：O175.29[理学—数学]