On the Jacobi Elliptic Function Expansion Method  

关于Jacobi椭圆函数展开法(英文)

作　　者：陈怀堂[1] 张鸿庆[1] 

机构地区：[1]大连理工大学应用数学系

出　　处：《Journal of Mathematical Research and Exposition》2004年第3期430-436,共7页数学研究与评论（英文版）

基　　金：Supported by the National Key Basic Research Development Project of China(1998030600);the National Natural Science Foundation of China(10072013)

摘　　要：The main idea of this method is to take full advantage of the elliptic equation that Jacobi elliptic functions satisfy and use its solutions to replace Jacobi elliptic functions in Jacobi elliptic function method. Some illustrative equations are investigated by this means.主要利用Jacobi椭圆函数所满足的方程并用其解代替Jacobi椭圆函数以求非线性偏微分方程的周期解,并举例说明该方法的应用.

关 键 词：Jacobi elliptic function periodic wave solution shock wave solution Wu algebraic elimination. 

分 类 号：O175.29[理学—数学]