Soliton solutions of Burgers' equation and the modified Kadomtsev-Petviashvili equation

被引：11

作者：

Chen, Aihua ^{[1
]}

Wang, Fan-Fan ^{[2
]}

Zhang, Weiguo ^{[1
]}

机构：

[1] Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China

[2] City Univ Hong Kong, Dept Math, Kowloon Tong, Hong Kong, Peoples R China

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2010年 / 43卷 / 36期

关键词：

NONLINEAR EVOLUTION-EQUATIONS; DARBOUX TRANSFORMATION; EXPLICIT SOLUTIONS;

D O I：

10.1088/1751-8113/43/36/365202

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

From the Levi spectral problem, we obtain the (1+1)-dimensional Burgers' equation and the (2+1)-dimensional modified Kadomtsev-Petviashvili equation. Through the Miura transformation, the modified Kadomtsev-Petviashvili equation is transformed into the Kadomtsev-Petviashvili equation. Then by constructing some new Darboux transformations, we obtain new soliton solutions of Burgers' equation and find solitons fusion. By solving two (1+1)-dimensional soliton equations, new soliton solutions of the modified Kadomtsev-Petviashvili equation are obtained. And then explicit solutions of the Kadomtsev-Petviashvili equation are also obtained through the Miura transformation.

引用

页数：11

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