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, issue 1

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
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2015/834521

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2015:y:2015:i:1:n:834521

Access Statistics for this article

More articles in Abstract and Applied Analysis from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().