(2+1)维广义5阶KdV方程N-孤子解  

N-soliton Solution of the (2+1)-Dimensional Generalized Fifth-order KdV Equation

作　　者：孙福伟[1] 高伟[1] 

机构地区：[1]北方工业大学理学院,北京100144

出　　处：《北方工业大学学报》2014年第3期47-52,共6页Journal of North China University of Technology

摘　　要：利用Hirota双线性方法研究了(2+1)维广义5阶KdV方程,得到了单孤子解、双孤子解和三孤子解.通过进一步分析得到N-孤子解析解的表达式.借助计算机符号计算得出多孤子演化图形,展示了多孤子之间的相互作用.By the Hirota bilinear method, the （2-b-1）-dimensional generalized fifth-KdV equa- tion is investigated. The single soliton solution, double soliton solution and three soliton solution of the （2 ＋ 1）-dimensional generalized fifth-KdV equation are all obtained. By further analysis, N-soli- ton solution expression is obtained. Using the symbolic computation, the figures of the multiple- soliton solutions are drawn. This paper also shows the interaction between solitons.

关 键 词：HIROTA双线性方法 (2+1)维广义5阶KdV方程 N-孤子解 

分 类 号：O175.29[理学—数学]