(2+1)维破裂孤子方程及Kadomtsev-Petviashvili方程的Stable-range解法

数学季刊 ›› 2012, Vol. 27 ›› Issue (2): 183-190.

(2+1)维破裂孤子方程及Kadomtsev-Petviashvili方程的Stable-range解法

1. Department of Mathematics, Northwest University 2. College of Science, Zhongyuan University of Technology 3. Department of Physical Education, Tianshui Normal University4. School of Mathematics and Statistics, Chongqing Three Gorges University

收稿日期:2010-04-21 出版日期:2012-06-30 发布日期:2023-03-28
作者简介:ZHANG Ying(1985-), female, native of Yuncheng, Shanxi, a Ph.D. of Northwest University, engages in nonlinear partial diﬀerential equations.
基金资助:
Supported by the Program of Shannxi Provincial Department of Education(11JK0482)； Supported by the NSF of China(11101332)； Supported by the Natural Science Foundation of Henan Province(2007140020)

Stable-range Approach to the (2+1)-dimensional Breaking Soliton and Kadomtsev-Petviashvili Equations

1. Department of Mathematics, Northwest University 2. College of Science, Zhongyuan University of Technology 3. Department of Physical Education, Tianshui Normal University4. School of Mathematics and Statistics, Chongqing Three Gorges University

Received:2010-04-21 Online:2012-06-30 Published:2023-03-28
About author:ZHANG Ying(1985-), female, native of Yuncheng, Shanxi, a Ph.D. of Northwest University, engages in nonlinear partial diﬀerential equations.
Supported by:
Supported by the Program of Shannxi Provincial Department of Education(11JK0482)； Supported by the NSF of China(11101332)； Supported by the Natural Science Foundation of Henan Province(2007140020)

摘要/Abstract

摘要： By using Xu’s stable-range method, families of explicit exact solutions with multiple parameter functions for the (2+1)-dimensional breaking soliton and Kadomtsev-Petviashvili equations. These parameter functions make our solutions more applicable to related practical models and boundary value problems.

关键词: exact solutions, breaking soliton equation, Kadomtsev-Petviashvili equation; Stable-range

Abstract: By using Xu’s stable-range method, families of explicit exact solutions with multiple parameter functions for the (2+1)-dimensional breaking soliton and Kadomtsev-Petviashvili equations. These parameter functions make our solutions more applicable to related practical models and boundary value problems.

Key words: exact solutions, breaking soliton equation, Kadomtsev-Petviashvili equation; Stable-range

中图分类号:

O175.24

张颖, 李吉娜, 张江红, 宋晓倩. (2+1)维破裂孤子方程及Kadomtsev-Petviashvili方程的Stable-range解法[J]. 数学季刊, 2012, 27(2): 183-190.

ZHANG Ying, LI Ji-na, ZHANG Jiang-hong, SONG Xiao-qian. Stable-range Approach to the (2+1)-dimensional Breaking Soliton and Kadomtsev-Petviashvili Equations[J]. Chinese Quarterly Journal of Mathematics, 2012, 27(2): 183-190.

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