摘要
<Abstract>In this paper,an explicit N-fold Darboux transformation with multi-parameters for both a (1+1)- dimensional Broer-Kaup (BK) equation and a (1+1)-dimensional high-order Broer-Kaup equation is constructed with the help of a gauge transformation of their spectral problems.By using the Darboux transformation and new ba- sic solutions of the spectral problems,2N-soliton solutions of the BK equation,the high-order BK equation,and the Kadomtsev-Petviashvili (KP) equation are obtained.
In this paper, an explicit N-fold Darboux transformation with multi-parameters for both a （1＋1）- dimensional Broer-Kaup （BK） equation and a （1＋1）-dimensional high-order Broer-Kaup equation is constructed with the help of a gauge transformation of their spectral problems. By using the Darboux transformation and new basic solutions of the spectral problems, 2N-soliton solutions of the BK equation, the high-order BK equation, and the Kadomtsev-Petviashvili （KP） equation are obtained.
基金
supported by the State Key Basic Research Program of China under Grant No.2004CB318000
the Research Fund for the Doctoral Program of Higher Education of China under Grant No.20060269006
关键词
孤立子
方程
转化模式
空间
Darboux transformation, soliton solution, KP equation, BK equation
