Construction of exact solutions to the Jimbo-Miwa equation through Backlund transformation and symbolic computation
Based on a simple transformation, and with the aid of symbolic computation, a Backlund transformation relating the Jimbo-Miwa equation and a system of linear partial differential equations is obtained, which enables us to construct exact solutions of the Jimbo-Miwa equation through the Wronskian determinants of independent solutions of the linear system. Particularly, explicit Wronskian form N-soliton solutions for the Jimbo-Miwa equation are presented. Moreover, the introduced transformation also helps to construct bi-soliton-like solutions of the Jimbo-Miwa equation. Due to the arbitrary functions they contain, the bi-soliton-like solutions can represent various waves such as classical cross-line bi-solitons, curved bi-solitons and bi-soliton-like breathers. (C) 2012 Elsevier Ltd. All rights reserved.
jimbo-miwa equation wronskian n-soliton solution bi-soliton-like solution