Soliton Interactions of the "Good" Boussinesq Equation on a Nonzero Background |
| |
Authors: | ZHA Xiao SUN He XU Tao MENG Xiang-Hua LI Heng-Ji |
| |
Institution: | 1.College of Science, China University of Petroleum, Beijing 102249, China;2.Department of Petroleum Engineering, China University of Petroleum, Beijing 102249, China;3.Department of Mathematics, College of Sciences, Beijing Information Science and Technology University, Beijing 100192, China |
| |
Abstract: | In this paper, we obtain the soliton solutions for the "good" Boussinesq equation on a constant background. Based on the asymptotic analysis of the solutions, we find that this equation admits both the elastic and resonant soliton interactions, as well as various partially inelastic interactions comprised of such two fundamental interactions. Via picture drawing, we present some examples of soliton interactions on nonzero backgrounds. Our results enrich the knowledge of soliton interactions in the (1+1)-dimensional integrable equation with a single field. |
| |
Keywords: | soliton interactions Boussinesq equation resonant interactions asymptotic analysis |
|
| 点击此处可从《理论物理通讯》浏览原始摘要信息 |
| 点击此处可从《理论物理通讯》下载免费的PDF全文 |
|