Grammian and Pfaffian solutions as well as Pfaffianization for a (3+1)-dimensional generalized shallow water equation

Ya Ning Tang; Wen Xiu Ma; Wei Xu

doi:10.1088/1674-1056/21/7/070212

Grammian and Pfaffian solutions as well as Pfaffianization for a (3+1)-dimensional generalized shallow water equation

Ya Ning Tang
, Wen Xiu Ma
, Wei Xu

数学与统计学院

Northwestern Polytechnical University Xian
University of South Florida

科研成果: 期刊稿件 › 文章 › 同行评审

59 引用（Scopus）

摘要

Based on the Grammian and Pfaffian derivative formulae, Grammian and Pfaffian solutions are obtained for a (3+1)-dimensional generalized shallow water equation in the Hirota bilinear form. Moreover, a Pfaffian extension is made for the equation by means of the Pfaffianization procedure, the Wronski-type and Gramm-type Pfaffian solutions of the resulting coupled system are presented.

源语言	英语
文章编号	070212
期刊	Chinese Physics B
卷	21
期	7
DOI	https://doi.org/10.1088/1674-1056/21/7/070212
出版状态	已出版 - 7月 2012

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abstract = "Based on the Grammian and Pfaffian derivative formulae, Grammian and Pfaffian solutions are obtained for a (3+1)-dimensional generalized shallow water equation in the Hirota bilinear form. Moreover, a Pfaffian extension is made for the equation by means of the Pfaffianization procedure, the Wronski-type and Gramm-type Pfaffian solutions of the resulting coupled system are presented.",

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AU - Tang, Ya Ning

AU - Ma, Wen Xiu

AU - Xu, Wei

PY - 2012/7

Y1 - 2012/7

N2 - Based on the Grammian and Pfaffian derivative formulae, Grammian and Pfaffian solutions are obtained for a (3+1)-dimensional generalized shallow water equation in the Hirota bilinear form. Moreover, a Pfaffian extension is made for the equation by means of the Pfaffianization procedure, the Wronski-type and Gramm-type Pfaffian solutions of the resulting coupled system are presented.

AB - Based on the Grammian and Pfaffian derivative formulae, Grammian and Pfaffian solutions are obtained for a (3+1)-dimensional generalized shallow water equation in the Hirota bilinear form. Moreover, a Pfaffian extension is made for the equation by means of the Pfaffianization procedure, the Wronski-type and Gramm-type Pfaffian solutions of the resulting coupled system are presented.

KW - Grammian and Pfaffian solutions

KW - Hirota bilinear form

KW - Wronski-type and Gramm-type Pfaffian solutions

UR - https://www.scopus.com/pages/publications/84864265198

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DO - 10.1088/1674-1056/21/7/070212

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JO - Chinese Physics B

JF - Chinese Physics B

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M1 - 070212

ER -

Grammian and Pfaffian solutions as well as Pfaffianization for a (3+1)-dimensional generalized shallow water equation

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