R-L-W方程的精确解  

Exact Solutions for R-L-W Equation

作　　者：黎明[1] 

机构地区：[1]曲靖师范学院数学系,云南曲靖655011

出　　处：《曲靖师范学院学报》2005年第6期35-39,共5页Journal of Qujing Normal University

基　　金：云南省教育厅科研立项基金项目"非线性方程的极限环与行波解研究"(5Y0012A)

摘　　要：根据齐次平衡原则和F-展开法求出了R-L-W方程的用Jacobi椭圆函数表示的双周期解,在极限情形下,得到了方程的孤立波解和用三角函数表示的单周期波解.A number of doubly periodic wave expressed by Jacobi elliptic functions to the R - L- W equation are obtained by using the homogeneous balance principle and F- expansion method, which can be thought as over all generalization of Jacobi elliption function expansion method proposed recently. In the limit cases, the solitary wave solutions and other types of single periodic wave solutions to the system are obtained as well.

关 键 词：R—L—W方程 F-展开法 精确解 

分 类 号：O175.2[理学—数学]