两类(2+1)-维孤子方程的显式解

广西师范大学学报（自然科学版） ›› 2011, Vol. 29 ›› Issue (2): 45-49.

两类(2+1)-维孤子方程的显式解

马云苓^1,2, 耿献国¹

1.郑州大学数学系,河南郑州450052;
2.商丘师范学院数学系,河南商丘476000

收稿日期:2011-01-05 发布日期:2018-11-19
通讯作者: 耿献国(1957—),男,河南安阳人,郑州大学教授,博导。E-mail:gengxg@public2.zz.ha.cn
基金资助:
国家自然科学基金资助项目(10871182,11074160);河南省自然科学基金资助项目(102300410190);河南省中青年骨干教师资助项目(092300410202)

Explicit Solutions of Two (2+1)-dimensional Soliton Equations

MA Yun-ling^1,2, GENG Xian-guo¹

1.Department of Mathematics,Zhengzhou University,Zhengzhou Henan 450052,China;
2.Department of Mathematics,Shangqiu Normal University,Shangqiu Henan 476000,China

Received:2011-01-05 Published:2018-11-19

摘要/Abstract

摘要： 应用双线性方法,在(1+1)-维方程的帮助下,研究和讨论两类(2+1)-维孤子方程的显式解,给出了方程的单孤子解,双孤子解和N-孤子解,提供了求(2+1)-维孤子方程显式解的可行途径。

关键词: (2+1)-维孤子方程, 双线性方法, 双线性形式, 孤子解

Abstract: Using bilinear method and with the aid of the (1+1)-dimensional equation,explicit solutions of two (2+1)-dimensional soliton equations are discussed and studied.Some explicit solutions of these equations areobtained,including one-soliton solution,two-soliton solution and N-soliton solution.A systematic procedure is given in detail to solve N-solitonsolution of the (2+1)-dimensional soliton equation.

Key words: (2+1)-dimensional soliton equation, bilinear method, bilinear form, soliton solution

中图分类号:

O175.29

马云苓, 耿献国. 两类(2+1)-维孤子方程的显式解[J]. 广西师范大学学报（自然科学版）, 2011, 29(2): 45-49.

MA Yun-ling, GENG Xian-guo. Explicit Solutions of Two (2+1)-dimensional Soliton Equations[J]. Journal of Guangxi Normal University(Natural Science Edition), 2011, 29(2): 45-49.

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