Bilinear Form and Two Bäcklund Transformations for the (3+1)-Dimensional Jimbo-Miwa Equation

He Li and Yi-Tian Gao

Abstract and Applied Analysis, 2015, vol. 2015, 1-5

Abstract:

With Bell polynomials and symbolic computation, this paper investigates the (3+1)-dimensional Jimbo-Miwa equation, which is one of the equations in the Kadomtsev-Petviashvili hierarchy of integrable systems. We derive a bilinear form and construct a bilinear Bäcklund transformation (BT) for the (3+1)-dimensional Jimbo-Miwa equation, by virtue of which the soliton solutions are obtained. Bell-polynomial-typed BT is also constructed and cast into the bilinear BT.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:834521

DOI: 10.1155/2015/834521

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