YANG Zhongxin,LIU Xiaohua.Exact traveling wave solution of the Boussinesq equation[J].Journal of Yanbian University,2024,(01):76-80.
Boussinesq方程的精确行波解
- Title:
- Exact traveling wave solution of the Boussinesq equation
- 文章编号:
- 1004-4353(2024)01-0076-05
- 关键词:
- Boussinesq方程; 广义kudryashov方法; 行波解; 精确指数函数解; 解的性态
- Keywords:
- Boussinesq equation; generalized kudryashov method; traveling wave solution; exact exponential function solution; behavior of the solution
- 分类号:
- O175.29
- 文献标志码:
- A
- 摘要:
- 利用广义kudryashov方法讨论了Boussinesq方程的行波解,给出了其5个精确指数函数解的显式表达式,并利用Maple软件给出了该方程3个精确解的性态.
- Abstract:
- The traveling wave solution of Boussinesq equation was discussed by using generalized kudryashov method. The expression of 5 exact exponential function solutions was given. The behavior of 3 exact solutions was obtained by means of Maple software.
参考文献/References:
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相似文献/References:
[1]张聚梅,王洪伦,黄利国.求Boussinesq方程孤子解的新方法[J].延边大学学报(自然科学版),2013,39(03):183.
ZHANG Jumei,WANG Honglun,HUANG Liguo.A new method for the soliton solution of Boussinesq equation[J].Journal of Yanbian University,2013,39(01):183.
备注/Memo
投稿日期:2023-08-06
基金项目:贵州教育厅自然科学研究项目(QJJ2023012)第一作者:杨忠鑫(1998— ),女,硕士研究生,研究方向为微分方程及其精确解.
通信作者:刘小华(1975— ),女,博士,教授,研究方向为微分方程及其精确解.