Explicit solutions for some (2+1)-dimensional nonlinear evolution equations

被引：7

作者：

Geng, XG

Li, XM

机构：

[1] CCAST, World Lab, Beijing 100080, Peoples R China

[2] Zhengzhou Univ, Dept Math, Zhengzhou 450052, Henan, Peoples R China

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2001年 / 34卷 / 45期

关键词：

D O I：

10.1088/0305-4470/34/45/305

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Some (2 + 1)-dimensional nonlinear evolution equations, including the Kadomtsev-Petviashvili II (KPII) equation and the modified Kadomtsev-Petviashvili (KP) equation, are decomposed into two (1 + 1)-dimensional soliton systems in the coupled KdV hierarchy. With the help of the decomposition and the Darboux transformation, some explicit solutions of these (2+1)-dimensional nonlinear evolution equations such as new soliton solutions of the KPII equation and the modified KPII equation are obtained.

引用

页码：9653 / 9661

页数：9

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