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Bäcklund transformation and multi-soliton solutions for a (2 + 1)-dimensional Korteweg-de Vries system via symbolic computation |
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| Authors: | Tao Geng Xiang-Hua Meng Bo Tian |
| Affiliation: | a School of Science, P.O. Box 122, Beijing University of Posts and Telecommunications, Beijing 100876, China b State Key Laboratory of Software Development Environment, Beijing University of Aeronautics and Astronautics, Beijing 100191, China c Key Laboratory of Information Photonics and Optical Communications, Ministry of Education, Beijing University of Posts and Telecommunications, Beijing 100876, China |
| 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. |
| Keywords: | N-soliton solution Bä cklund transformation Bilinear form Symbolic computation |
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