两个m-KdV多维类似方程的N-孤子解

数学季刊 ›› 2011, Vol. 26 ›› Issue (3): 434-439.

两个m-KdV多维类似方程的N-孤子解

Department of Mathematics, Shangqiu Normal University

收稿日期:2008-03-10 出版日期:2011-09-30 发布日期:2023-04-21
作者简介:MA Yun-ling(1969-), female(Huizu), native of Shangqiu, Henan, an associate professor of Shangqiu Normal College, M.S.D., engages in soliton and integrable systems.
基金资助:
Supported by the National Natural Science Foundation of China(10871132,11074160)； Supported by the National Natura Science Foundation of Henan Province(102300410190,092300410202)；

N-soliton Solution for Two Multidimensional Analogues of the m-KdV Equation

Department of Mathematics, Shangqiu Normal University

Received:2008-03-10 Online:2011-09-30 Published:2023-04-21
About author:MA Yun-ling(1969-), female(Huizu), native of Shangqiu, Henan, an associate professor of Shangqiu Normal College, M.S.D., engages in soliton and integrable systems.
Supported by:
Supported by the National Natural Science Foundation of China(10871132,11074160)； Supported by the National Natura Science Foundation of Henan Province(102300410190,092300410202)；

摘要/Abstract

摘要： Using the Hirota’s bilinear method, some new N-soliton solution are presented for two multidimensional analogues of the m-KdV equation w_t+w_{xxx ...}=0 in view of a different treatment.

关键词: nonlinear evolution equation, Hirota’s bilinear method, N-soliton solution

Abstract: Using the Hirota’s bilinear method, some new N-soliton solution are presented for two multidimensional analogues of the m-KdV equation w_t+w_{xxx ...}=0 in view of a different treatment.

Key words: nonlinear evolution equation, Hirota’s bilinear method, N-soliton solution

中图分类号:

O175

马云苓. 两个m-KdV多维类似方程的N-孤子解[J]. 数学季刊, 2011, 26(3): 434-439.

MA Yun-ling. N-soliton Solution for Two Multidimensional Analogues of the m-KdV Equation[J]. Chinese Quarterly Journal of Mathematics, 2011, 26(3): 434-439.

[1]	陈博奎, 刘伊可, 汪秉宏. 用指数函数法求解KdV-Burgers-Kuramoto方程和Kuramoto-Sivashinsky方程[J]. 数学季刊, 2012, 27(4): 562-571.
[2]	魏含玉, 童艳春, 夏铁成. Hirota-Satsuma方程的N-孤子解[J]. 数学季刊, 2012, 27(2): 270-273.