New Similarity Reductions and Compacton Solutions forBoussinesq-Like Equations with Fully Nonlinear Dispersion |
| |
Authors: | YAN Zhen-Ya |
| |
Affiliation: | Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China |
| |
Abstract: | In this paper, similarity reductions of Boussinesq-like equations with nonlinear dispersion (simply called B(m,n) equations)utt=(un)xx+(um)xxxx, which is a generalized model of Boussinesq equation utt=(u2)xx+uxxxx and modified Bousinesq equation utt=(u3)xx+uxxxx, are considered by using the direct reduction method. As a result, several new types of similarity reductions are found. Based on the reduction equations and some simple transformations, we obtain the solitary wave solutions and compacton solutions (which are solitary waves with the property that after colliding with other compacton solutions, they re-emerge with the same coherent shape) of B(1,n) equations and B(m,m) equations, respectively. |
| |
Keywords: | nonlinear evolution equation B(m n) equations similarity reduction solitary wave solution compacton solution |
|
| 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》下载全文 |
|