| Exact explicit solitary wave and periodic wave solutions and their dynamical behaviors for the Schamel–Korteweg–de Vries equation |
| |
| 作者单位： | College of Mathematics and Statistics, Honghe University, Mengzi 661100, China |
| |
| 基金项目： | Project supported by the National Natural Science Foundation of China (Grant No. 11461022). |
| |
| 摘 要： | The Schamel–Korteweg–de Vries equation is investigated by the approach of dynamics.The existences of solitary wave including ω-shape solitary wave and periodic wave are proved via investigating the dynamical behaviors with phase space analyses.The sufficient conditions to guarantee the existences of the above solutions in different regions of the parametric space are given.All possible exact explicit parametric representations of the waves are also presented.Along with the details of the analyses,the analytical results are numerically simulated lastly.
|
| 收稿时间： | 2020-11-19 |
Exact explicit solitary wave and periodic wave solutions and their dynamical behaviors for the Schamel-Korteweg-de Vries equation |
| |
| Affiliation: | College of Mathematics and Statistics, Honghe University, Mengzi 661100, China |
| |
| Abstract: | The Schamel-Korteweg-de Vries equation is investigated by the approach of dynamics. The existences of solitary wave including ω-shape solitary wave and periodic wave are proved via investigating the dynamical behaviors with phase space analyses. The sufficient conditions to guarantee the existences of the above solutions in different regions of the parametric space are given. All possible exact explicit parametric representations of the waves are also presented. Along with the details of the analyses, the analytical results are numerically simulated lastly. |
| |
| Keywords: | Schamel-Korteweg-de Vries equation dynamical behavior solitary wave solution periodic wave solution |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《中国物理 B》浏览原始摘要信息 |
|
点击此处可从《中国物理 B》下载免费的PDF全文 |
