(2+1)维一般Calogero-Bogoyavlenskii-Schiff系统的无穷序列类孤子新解  

New infinite sequence soliton-like solutions of(2+1)-dimension general Calogero-Bogoyavlenskii-Schiff system

作　　者：李宁[1] 套格图桑[1] 

机构地区：[1]内蒙古师范大学数学科学学院,内蒙古呼和浩特010022

出　　处：《量子电子学报》2015年第4期414-418,共5页Chinese Journal of Quantum Electronics

基　　金：国家自然科学基金资助项目(11361040);内蒙古自治区高等学校科学研究基金(NJZY12031);内蒙古自治区自然科学基金(2015MS0128)资助

摘　　要：为了构造(2+1)维一般Calogero-Bogoyavlenskii-Schiff系统的无穷序列类孤子新解,引入了可转化为Riccati方程的新的辅助方程及其新解,给出了Riccati方程的新解、Backlund变换和解的非线性叠加公式。在此基础上,借助符号计算系统Mathematica,构造了(2+1)维一般Calogero-Bogoyavlenskii-Schiff系统的无穷序列类孤子新解。这些解由指数函数,三角函数和有理函数复合组成。To construct the new infinite sequence soliton-like solutions of the（2＋1）-dimension general Calogero-Bogoyavlenskii-Schiff system,the new auxiliary equation that can be changed to the Riccati equation and its new solutions were presented.The new solutions,Backlund transformation,and the nonlinear superposition formula of solutions of the Riccati equation were presented.Based on these solutions and with the help of Mathematica,the new infinite sequence soliton-like solutions of the（2＋1）-dimension general Calogero-Bogoyavlenskii-Schiff system were constructed.The solutions are consisted of exponential function,trigonometric function and rational function.

关 键 词：非线性方程 辅助方程 (2+1)维一般Calogero-Bogoyavlenskii-Schiff系统 无穷序列类孤子新解 

分 类 号：O175.29[理学—数学]