Wronskian determinant solutions of the (3 + 1)-dimensional Jimbo-Miwa equation

Yaning Tang; Wen Xiu Ma; Wei Xu; Liang Gao

doi:10.1016/j.amc.2011.03.120

Wronskian determinant solutions of the (3 + 1)-dimensional Jimbo-Miwa equation

Yaning Tang
, Wen Xiu Ma
, Wei Xu
, Liang Gao

School of Mathematics and Statistics

Northwestern Polytechnical University Xian
University of South Florida
Science Research Institute of China-North Group Company

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

34 Scopus citations

Abstract

A set of sufficient conditions consisting of systems of linear partial differential equations is obtained which guarantees that the Wronskian determinant solves the (3 + 1)-dimensional Jimbo-Miwa equation in the bilinear form. Upon solving the linear conditions, the resulting Wronskian formulations bring solution formulas, which can yield rational solutions, solitons, negatons, positons and interaction solutions.

Original language	English
Pages (from-to)	8722-8730
Number of pages	9
Journal	Applied Mathematics and Computation
Volume	217
Issue number	21
DOIs	https://doi.org/10.1016/j.amc.2011.03.120
State	Published - 1 Jul 2011

Keywords

(3 + 1)-dimensional Jimbo-Miwa equation
Negatons
Positons
Rational solutions
Wronskian form

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10.1016/j.amc.2011.03.120

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abstract = "A set of sufficient conditions consisting of systems of linear partial differential equations is obtained which guarantees that the Wronskian determinant solves the (3 + 1)-dimensional Jimbo-Miwa equation in the bilinear form. Upon solving the linear conditions, the resulting Wronskian formulations bring solution formulas, which can yield rational solutions, solitons, negatons, positons and interaction solutions.",

keywords = "(3 + 1)-dimensional Jimbo-Miwa equation, Negatons, Positons, Rational solutions, Wronskian form",

author = "Yaning Tang and Ma, \{Wen Xiu\} and Wei Xu and Liang Gao",

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AU - Tang, Yaning

AU - Ma, Wen Xiu

AU - Xu, Wei

AU - Gao, Liang

PY - 2011/7/1

Y1 - 2011/7/1

N2 - A set of sufficient conditions consisting of systems of linear partial differential equations is obtained which guarantees that the Wronskian determinant solves the (3 + 1)-dimensional Jimbo-Miwa equation in the bilinear form. Upon solving the linear conditions, the resulting Wronskian formulations bring solution formulas, which can yield rational solutions, solitons, negatons, positons and interaction solutions.

AB - A set of sufficient conditions consisting of systems of linear partial differential equations is obtained which guarantees that the Wronskian determinant solves the (3 + 1)-dimensional Jimbo-Miwa equation in the bilinear form. Upon solving the linear conditions, the resulting Wronskian formulations bring solution formulas, which can yield rational solutions, solitons, negatons, positons and interaction solutions.

KW - (3 + 1)-dimensional Jimbo-Miwa equation

KW - Negatons

KW - Positons

KW - Rational solutions

KW - Wronskian form

UR - https://www.scopus.com/pages/publications/79956061623

U2 - 10.1016/j.amc.2011.03.120

DO - 10.1016/j.amc.2011.03.120

M3 - 文章

AN - SCOPUS:79956061623

SN - 0096-3003

VL - 217

SP - 8722

EP - 8730

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 21

ER -

Wronskian determinant solutions of the (3 + 1)-dimensional Jimbo-Miwa equation

Abstract

Keywords

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