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

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  • He Li
  • Yi-Tian Gao

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.

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Handle: RePEc:wly:jnlaaa:v:2015:y:2015:i:1:n:834521
DOI: 10.1155/2015/834521
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