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^*

^*Corresponding author for this work

School of Mathematics and Statistics

School of Information

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

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.

Original language	English
Pages (from-to)	409-414
Number of pages	6
Journal	Communications in Theoretical Physics
Volume	61
Issue number	4
DOIs	https://doi.org/10.1088/0253-6102/61/4/02
Publication status	Published - Apr 2014

Keywords

Grammian determinant
pfaffian technique

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10.1088/0253-6102/61/4/02

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title = "Extended determinant solution of a (3 + 1)-dimensional KP equation",

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",

author = "Zhu, \{Guo Qing\} and Wang, \{Hong Yan\}",

year = "2014",

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doi = "10.1088/0253-6102/61/4/02",

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T1 - Extended determinant solution of a (3 + 1)-dimensional KP equation

AU - Zhu, Guo Qing

AU - Wang, Hong Yan

PY - 2014/4

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N2 - 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.

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.

KW - Grammian determinant

KW - pfaffian technique

UR - https://www.scopus.com/pages/publications/84899553808

U2 - 10.1088/0253-6102/61/4/02

DO - 10.1088/0253-6102/61/4/02

M3 - Article

AN - SCOPUS:84899553808

SN - 0253-6102

VL - 61

SP - 409

EP - 414

JO - Communications in Theoretical Physics

JF - Communications in Theoretical Physics

IS - 4

ER -

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

Abstract

Keywords

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