![](/common/images/spacer.gif)
![Wolfram Library Archive](/images/database/subheader.gif)
![](/common/images/spacer.gif) |
![](/common/images/spacer.gif) |
![](/common/images/spacer.gif) |
![](/common/images/spacer.gif) |
![](/common/images/spacer.gif) |
![](/common/images/spacer.gif) |
![](/images/database/grey-line.gif) |
![](/images/database/grey-line.gif) |
![](/common/images/spacer.gif) |
![](/common/images/spacer.gif) Kink-Like Wave and Compacton-Like Wave Solutions for a Two-Component Fornberg-Whitham Equation
![](/common/images/spacer.gif) |
![](/common/images/spacer.gif) |
![](/common/images/spacer.gif) |
![](/images/database/grey-line.gif) |
![](/images/database/grey-line.gif) |
![](/common/images/spacer.gif) |
![](/common/images/spacer.gif)
Organization: | School of Mathematics and Information Sciences, Shaoguan University |
Organization: | Department of Mathematics, Shaoxing University |
![](/common/images/spacer.gif) |
![](/common/images/spacer.gif) |
![](/common/images/spacer.gif) |
![](/images/database/grey-line.gif) |
![](/images/database/grey-line.gif) |
![](/common/images/spacer.gif) |
![](/common/images/spacer.gif)
Abstract and Applied Analysis |
![](/common/images/spacer.gif) |
![](/common/images/spacer.gif) |
![](/common/images/spacer.gif) |
![](/images/database/grey-line.gif) |
![](/images/database/grey-line.gif) |
![](/common/images/spacer.gif) |
![](/common/images/spacer.gif) Using bifurcation method and numerical simulation approach of dynamical systems, we study a two-component Fornberg- Whitham equation. Two types of bounded traveling wave solutions are found, that is, the kink-like wave and compacton-like wave solutions.The planar graphs of these solutions are simulated by using softwareMathematica; meanwhile, two new phenomena are revealed; that is, the periodic wave solution can become the kink-like wave or compacton-like wave solution under some conditions, respectively. Exact implicit or parameter expressions of these solutions are given.
![](/common/images/spacer.gif) |
![](/common/images/spacer.gif) |
![](/common/images/spacer.gif) |
![](/images/database/grey-line.gif) |
![](/images/database/grey-line.gif) |
![](/common/images/spacer.gif) |
![](/common/images/spacer.gif)
![](/common/images/spacer.gif) |
![](/common/images/spacer.gif) |
|
![](/common/images/spacer.gif) |
![](/common/images/spacer.gif) |
![](/common/images/spacer.gif) |
![](/common/images/spacer.gif) |
| | | | ![](/common/images/spacer.gif) | |
|