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关于Jacobi椭圆函数展开法
引用本文:陈怀堂,张鸿庆.关于Jacobi椭圆函数展开法[J].数学研究与评论,2004,24(3):430-436.
作者姓名:陈怀堂  张鸿庆
作者单位:1. 大连理工大学应用数学系,辽宁,大连,116024;临沂师范学院数学系,山东,临沂,276005
2. 大连理工大学应用数学系,辽宁,大连,116024
基金项目:Supported by the National Key Basic Research Development Project of China(1998030600),the National Natural Science Foundation of China(10072013)
摘    要: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椭圆函数    周期波解    冲击波解    吴代数消元法
收稿时间:2002/1/20 0:00:00

On the Jacobi Elliptic Function Expansion Method
CHEN Huai-tang and ZHANG Hong-qing.On the Jacobi Elliptic Function Expansion Method[J].Journal of Mathematical Research and Exposition,2004,24(3):430-436.
Authors:CHEN Huai-tang and ZHANG Hong-qing
Institution:Dept. of Math.; Dalian University of Technology; Liaoning; China; Dept. of Math.; Linyi Normal University; Shandong; China;Dept. of Math.; Dalian University of Technology; Liaoning; China
Abstract: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.
Keywords:Jacobi elliptic function  periodic wave solution  shock wave solution  Wu algebraic elimination  
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