Article ID Journal Published Year Pages File Type
4632010 Applied Mathematics and Computation 2010 6 Pages PDF
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
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