内蒙古民族大学学报(自然科学版)Issue(2):128-131,4.
(2+1)维非线性波方程的无穷序列JacobiTheta函数解
Jacobi Theta Function Solutions to the Nonlinear Wave Equation in Microstructured Solids
摘要
Abstract
In this paper, a JacobiTheta function expansion method for solving nonlinear evolution equations is given, taken the identity and the first elliptic equation, which satisfied by JacobiTheta function, as an auxiliary equation. The nonlinear wave equation in microstructured solids is studied by using the method, and many kinds of JacobiTheta func-tion solutions are given. Next infinite sequence solutions are made by the method of Bäcklund transformation.关键词
JacobiTheta函数展开法/非线性波方程/无穷序列解/Bäcklund变换Key words
JacobiTheta function expansion method/Nonlinear wave equation/Infinit sequence solution/Bäcklund transformation分类
数理科学引用本文复制引用
毛丽娟,那仁满都拉..(2+1)维非线性波方程的无穷序列JacobiTheta函数解[J].内蒙古民族大学学报(自然科学版),2014,(2):128-131,4.基金项目
国家自然科学基金资助项目(10862003);内蒙古民族大学科研创新团队建设计划资助项目 ()