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

数学与统计学院

科研成果: 期刊稿件 › 文章 › 同行评审

31 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	8722-8730
页数	9
期刊	Applied Mathematics and Computation
卷	217
期	21
DOI	https://doi.org/10.1016/j.amc.2011.03.120
出版状态	已出版 - 1 7月 2011

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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.",

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AU - Tang, Yaning

AU - Ma, Wen Xiu

AU - Xu, Wei

AU - Gao, Liang

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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

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JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 21

ER -

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

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