[1]温振庶.(N+1)维广义的Boussinesq方程的精确显式非线性波解[J].华侨大学学报(自然科学版),2016,37(3):380-385.[doi:10.11830/ISSN.1000-5013.2016.03.0380]
　WEN Zhenshu.Exact Explicit Nonlinear Wave Solutions for the(N+1)-Dimensional Generalized Boussinesq Equation[J].Journal of Huaqiao University(Natural Science),2016,37(3):380-385.[doi:10.11830/ISSN.1000-5013.2016.03.0380]
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(N+1)维广义的Boussinesq方程的精确显式非线性波解()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第37卷
期数:
2016年第3期
页码:
380-385
栏目:
出版日期:
2016-05-09

文章信息/Info

Title:
Exact Explicit Nonlinear Wave Solutions for the(N+1)-Dimensional Generalized Boussinesq Equation
文章编号:
1000-5013(2016)03-0380-06
作者:
温振庶
华侨大学 数学科学学院, 福建 泉州 362021
Author(s):
WEN Zhenshu
School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China
关键词:
(N+1)维广义的Boussinesq方程;  孤立波解;  爆破解;  周期爆破解;  扭波型解
Keywords:
(N+1)-dimensional generalized boussinesq equation;  solitary wave solutions;  blow-up solutions;  periodic blow-up solutions;  kink-shaped solutions
分类号:
O175.29
DOI:
10.11830/ISSN.1000-5013.2016.03.0380
文献标志码:
A
摘要:
研究(N+1)维广义的Boussinesq方程的非线性波解.利用动力系统定性理论和分支方法,获得它的多种非线性波解的精确显式表达式,这些解包括孤立波解,爆破解,周期爆破解和扭波型解.
Abstract:
In this paper, we study the nonlinear wave solutions for the(N+1)-dimensional generalized Boussinesq equation. Using the bifurcation method and qualitative theory of dynamical systems, we obtain many exact explicit expressions of the nonlinear wave solutions for the equation. These solutions contain solitary wave solutions, blow-up solutions, periodic blow-up solutions, and kink-shaped solutions.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期: 2015-11-19
通信作者: 温振庶(1984-),男,副教授,博士,主要从事微分方程与动力系统的研究.E-mail:wenzhenshu@hqu.edu.cn.
基金项目: 国家自然科学基金资助项目(61573004, 11401230); 福建省自然科学基金资助项目(2015J05008); 福建省教育厅科技项目(JA14023)
更新日期/Last Update: 2016-05-20