## Abstract and Applied Analysis

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

#### 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.

#### Article information

Source
Abstr. Appl. Anal., Volume 2015 (2015), Article ID 834521, 5 pages.

Dates
First available in Project Euclid: 15 June 2015

https://projecteuclid.org/euclid.aaa/1434398159

Digital Object Identifier
doi:10.1155/2015/834521

Mathematical Reviews number (MathSciNet)
MR3354337

Zentralblatt MATH identifier
06929054

#### Citation

Li, He; Gao, Yi-Tian. Bilinear Form and Two Bäcklund Transformations for the (3+1)-Dimensional Jimbo-Miwa Equation. Abstr. Appl. Anal. 2015 (2015), Article ID 834521, 5 pages. doi:10.1155/2015/834521. https://projecteuclid.org/euclid.aaa/1434398159

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