Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4632010 | Applied Mathematics and Computation | 2010 | 6 Pages |
Abstract
In this paper, the (2 + 1)-dimensional Korteweg-de Vries system is symbolically investigated. By the bilinear method, the N-soliton solution is presented. Then, based on the Bäcklund transformation in bilinear form, a new Bäcklund transformation is obtained and new representation of the N-soliton solution is derived. A class of novel multi-soliton solutions are obtained by the new Bäcklund transformation and the availability of symbolic computation is demonstrated.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Tao Geng, Xiang-Hua Meng, Wen-Rui Shan, Bo Tian,