Extended determinant solution of a (3 + 1)-dimensional KP equation

Guo Qing Zhu; Hong Yan Wang

doi:10.1088/0253-6102/61/4/02

Extended determinant solution of a (3 + 1)-dimensional KP equation

Guo Qing Zhu, Hong Yan Wang^*

^*此作品的通讯作者

数学学院

Renmin University of China

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

In this paper, new extended Grammian determinant solutions to a (3 + 1)-dimensional KP equation are presented by using Hirora's bilinear method, and a broad set of sufficient conditions of systems of linear partial differential equations is given. Moreover, some special solutions of the representative systems are obtained through a systematic analysis.

源语言	英语
页（从-至）	409-414
页数	6
期刊	Communications in Theoretical Physics
卷	61
期	4
DOI	https://doi.org/10.1088/0253-6102/61/4/02
出版状态	已出版 - 4月 2014

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10.1088/0253-6102/61/4/02

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Zhu, G. Q., & Wang, H. Y. (2014). Extended determinant solution of a (3 + 1)-dimensional KP equation. Communications in Theoretical Physics, 61(4), 409-414. https://doi.org/10.1088/0253-6102/61/4/02

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abstract = "In this paper, new extended Grammian determinant solutions to a (3 + 1)-dimensional KP equation are presented by using Hirora's bilinear method, and a broad set of sufficient conditions of systems of linear partial differential equations is given. Moreover, some special solutions of the representative systems are obtained through a systematic analysis.",

keywords = "Grammian determinant, pfaffian technique",

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AB - In this paper, new extended Grammian determinant solutions to a (3 + 1)-dimensional KP equation are presented by using Hirora's bilinear method, and a broad set of sufficient conditions of systems of linear partial differential equations is given. Moreover, some special solutions of the representative systems are obtained through a systematic analysis.

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KW - pfaffian technique

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Extended determinant solution of a (3 + 1)-dimensional KP equation

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