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2015 Bilinear Form and Two Bäcklund Transformations for the (3+1)-Dimensional Jimbo-Miwa Equation
He Li, Yi-Tian Gao
Abstr. Appl. Anal. 2015: 1-5 (2015). DOI: 10.1155/2015/834521


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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He Li. Yi-Tian Gao. "Bilinear Form and Two Bäcklund Transformations for the (3+1)-Dimensional Jimbo-Miwa Equation." Abstr. Appl. Anal. 2015 1 - 5, 2015.


Published: 2015
First available in Project Euclid: 15 June 2015

zbMATH: 06929054
MathSciNet: MR3354337
Digital Object Identifier: 10.1155/2015/834521

Rights: Copyright © 2015 Hindawi

Vol.2015 • 2015
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