SIMILARITY REDUCTIONS FOR 2+1-DIMENSIONAL VARIABLE COEFFICIENT GENERALIZED KADOMTSEV-PETVIASHVILI EQUATION

Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (6): 645-650.

SIMILARITY REDUCTIONS FOR 2+1-DIMENSIONAL VARIABLE COEFFICIENT GENERALIZED KADOMTSEV-PETVIASHVILI EQUATION

闫振亚, 张鸿庆

Institute of Mathematical Science, Dalian University of Technology, Dalian 116024, P R China

收稿日期:1999-03-02 修回日期:1999-12-13 出版日期:2000-06-18 发布日期:2000-06-18
基金资助:
the National Natural Science Foundation of China(19572022);the National Climbing Project Foundation of China

SIMILARITY REDUCTIONS FOR 2+1-DIMENSIONAL VARIABLE COEFFICIENT GENERALIZED KADOMTSEV-PETVIASHVILI EQUATION

Yan Zhenya, Zhang Hongqing

Institute of Mathematical Science, Dalian University of Technology, Dalian 116024, P R China

Received:1999-03-02 Revised:1999-12-13 Online:2000-06-18 Published:2000-06-18
Supported by:
the National Natural Science Foundation of China(19572022);the National Climbing Project Foundation of China

摘要/Abstract

摘要： With the aid of MATHEMATICA, the direct reduction method was extended and applied in 2+1-dimensional variable coefficient generalized Kadomtsev-Petviashvili equation(VCGKPE). As a result, several kinds of similarity reductions for VCGKPE are obtained which contain Painleve Ⅰ, Painleve Ⅱ and Painleve Ⅳ reductions.

关键词: variable coefficient generalized Kadomtsev-Petviashvili equation, direct reduction method, similarity reduction

Abstract: With the aid of MATHEMATICA, the direct reduction method was extended and applied in 2+1-dimensional variable coefficient generalized Kadomtsev-Petviashvili equation(VCGKPE). As a result, several kinds of similarity reductions for VCGKPE are obtained which contain Painleve Ⅰ, Painleve Ⅱ and Painleve Ⅳ reductions.

Key words: variable coefficient generalized Kadomtsev-Petviashvili equation, direct reduction method, similarity reduction

中图分类号:

O175

闫振亚;张鸿庆. SIMILARITY REDUCTIONS FOR 2+1-DIMENSIONAL VARIABLE COEFFICIENT GENERALIZED KADOMTSEV-PETVIASHVILI EQUATION[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(6): 645-650.

Yan Zhenya;Zhang Hongqing . SIMILARITY REDUCTIONS FOR 2+1-DIMENSIONAL VARIABLE COEFFICIENT GENERALIZED KADOMTSEV-PETVIASHVILI EQUATION[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(6): 645-650.

[1]	谢福鼎;闫振亚;张鸿庆. SIMILARITY REDUCTIONS FOR THE NONLINEAR EVOLUTION EQUATION ARISING IN THE FERMI-PASTA-ULAM PROBLEM[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(4): 380-386.
[2]	俞慧丹;张解放. SIMILARITY SOLUTIONS OF THE SUPER KdV EQUATION[J]. Applied Mathematics and Mechanics (English Edition), 1995, 16(9): 901-904.

SIMILARITY REDUCTIONS FOR 2+1-DIMENSIONAL VARIABLE COEFFICIENT GENERALIZED KADOMTSEV-PETVIASHVILI EQUATION

SIMILARITY REDUCTIONS FOR 2+1-DIMENSIONAL VARIABLE COEFFICIENT GENERALIZED KADOMTSEV-PETVIASHVILI EQUATION

PDF

可视化

被引次数

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 2

编辑推荐

Metrics

本文评价