New Multi-soliton Solutions for the (2+1)-Dimensional Kadomtsev-Petviashvili Equation

作     者：Zhaqilao LI Zhi-Bin 

作者机构：Department of Computer Science East China Normal University Shanghai 200062 China College of Mathematics Science Inner Mongolia Normal University Huhhot 010022 China 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2008年第49卷第3期

页      面：585-589页

核心收录：

学科分类：080805[工学-电工理论与新技术] 080904[工学-电磁场与微波技术] 0808[工学-电气工程] 0809[工学-电子科学与技术（可授工学、理学学位）] 07[理学] 08[工学] 0701[理学-数学] 070101[理学-基础数学] 

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 

主　　题：Darboux transformation soliton solution KP equation BK equation 

摘      要：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.