物理学报Issue(10)：1-9,9.DOI:10.7498/aps.62.100201
非线性发展方程的Riemann theta函数等几种新解*
Riemann theta function and other several kinds of new solutions of nonlinear evolution equations∗
摘要
Abstract
Riemann theta function and other several kinds of new solutions to the second kind of elliptic equation are obtained to construct the infinite sequence complexiton solutions of nonlinear evolution equations. Based on this, applying B¨acklund transformation and nonlinear superposition formula of the solutions to the second kind of elliptic equation and Riccati equation, mKdV equation is chosen as an example to seek infinite sequence new complexiton solutions with the help of symbolic computation system Mathematica, which are composed of Riemann theta function, Jacobi elliptic function, hyperbolic function, triangular function and rational function in several forms.关键词
第二种椭圆方程/Riccati方程/非线性发展方程/Riemann theta函数无穷序列解Key words
the second kind of elliptic equation/Riccati equation/nonlinear evolution equation/Riemann theta function infinite sequence solution引用本文复制引用
套格图桑,白玉梅..非线性发展方程的Riemann theta函数等几种新解*[J].物理学报,2013,(10):1-9,9.基金项目
陕西省自然科学基础研究计划重点项目(批准号:2011JZ015)和陕西省电子信息系统综合集成重点实验室基金(批准号:201115Y15)资助的课题.@@@@Project supported by the Key Program of Shaanxi Provincial Nature Science for Basic Research, China (Grant No.2011JZ015) and Research Fund of Shaanxi Key Laboratory of Electronic Information System Integration, China (Grant No.201115Y15) （批准号:2011JZ015）
