广义耦合KdV孤子方程的达布变换及其奇孤子解  

Darboux Transformation of Generalized Coupled KdV Soliton Equation and Its Odd-Soliton Solutions

作　　者：刘萍[1] 

机构地区：[1]西南大学数学与统计学院,应用数学系,重庆400715

出　　处：《应用数学和力学》2008年第3期361-368,共8页Applied Mathematics and Mechanics

摘　　要：借助谱问题的规范变换,给出广义耦合KdV孤子方程的达布变换,利用达布变换来产生广义耦合KdV孤子方程的奇孤子解,并且用行列式的形式来表达广义耦合KdV孤子方程的奇孤子解.作为应用,广义耦合KdV孤子方程奇孤子解的前两个例子被给出.Based on the resulting Lax pairs of generalized coupled KdV soliton equation, a new Darboux transformation with multi-parameters for generalized coupled KdV soliton equation is derived with the help of a gauge transformation of the spectral problem. By using Darboux transformation, the generalized odd-soliton solutions of ceneralized coupled KdV soliton equation are given and presented in determinant form. As an application, the first two cases are given.

关 键 词：达布变换 孤子方程 奇孤子解 规范变换 

分 类 号：O175.29[理学—数学]