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

He Li; Yi Tian Gao

doi:10.1155/2015/834521

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

He Li^*
, Yi Tian Gao

^*Corresponding author for this work

School of Aeronautic Science and Engineering

Beihang University
Beijing University of Posts and Telecommunications

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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.

Original language	English
Article number	834521
Journal	Abstract and Applied Analysis
Volume	2015
DOIs	https://doi.org/10.1155/2015/834521
State	Published - 2015

Access to Document

10.1155/2015/834521

Cite this

@article{9dc2e1d959784037bfff71c38c69edde,

title = "Bilinear Form and Two B{\"a}cklund 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 B{\"a}cklund 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.",

author = "He Li and Gao, \{Yi Tian\}",

note = "Publisher Copyright: {\textcopyright} 2015 He Li and Yi-Tian Gao.",

year = "2015",

doi = "10.1155/2015/834521",

language = "英语",

volume = "2015",

journal = "Abstract and Applied Analysis",

issn = "1085-3375",

publisher = "John Wiley and Sons Ltd",

}

TY - JOUR

T1 - Bilinear Form and Two Bäcklund Transformations for the (3+1)-Dimensional Jimbo-Miwa Equation

AU - Li, He

AU - Gao, Yi Tian

PY - 2015

Y1 - 2015

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/84935870170

U2 - 10.1155/2015/834521

DO - 10.1155/2015/834521

M3 - 文章

AN - SCOPUS:84935870170

SN - 1085-3375

VL - 2015

JO - Abstract and Applied Analysis

JF - Abstract and Applied Analysis

M1 - 834521

ER -

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

Abstract

Access to Document

Other files and links

Fingerprint

Cite this