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

• 来源期刊: 理论物理通讯（英文版）
• 年，卷（期）: 2008,（3）
• 页码范围: 585-589
• 页数: 5页
• 语种: 英文

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 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.