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.
出处
《量子电子学报》
CAS
CSCD
北大核心
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
