Painlevé property and new analytic solutions for a variable-coefficient Kadomtsev-Petviashvili equation with symbolic computation

Guang Mei Wei; Yi Tian Gao; Tao Xu; Xiang Hua Meng; Chun Yi Zhang

doi:10.1088/0256-307X/25/5/021

Painlevé property and new analytic solutions for a variable-coefficient Kadomtsev-Petviashvili equation with symbolic computation

Guang Mei Wei^*
, Yi Tian Gao
, Tao Xu
, Xiang Hua Meng
, Chun Yi Zhang

^*此作品的通讯作者

Beijing University of Posts and Telecommunications
Meteorology Center of Air Force Command Post

科研成果: 期刊稿件 › 文章 › 同行评审

21 引用（Scopus）

摘要

A variable-coefficient Kadomtsev-Petviashvili equation is investigated. The Painlevé analysis leads to its explicit Painlevé-integrable conditions. An auto-Bäcklund transformation and the bilinear form are presented via the truncated Painlevé expansion and symbolic computation. Several families of new analytic solutions are presented, including the soliton-like and periodic solutions.

源语言	英语
页（从-至）	1599-1602
页数	4
期刊	Chinese Physics Letters
卷	25
期	5
DOI	https://doi.org/10.1088/0256-307X/25/5/021
出版状态	已出版 - 1 5月 2008

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abstract = "A variable-coefficient Kadomtsev-Petviashvili equation is investigated. The Painlev{\'e} analysis leads to its explicit Painlev{\'e}-integrable conditions. An auto-B{\"a}cklund transformation and the bilinear form are presented via the truncated Painlev{\'e} expansion and symbolic computation. Several families of new analytic solutions are presented, including the soliton-like and periodic solutions.",

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AU - Wei, Guang Mei

AU - Gao, Yi Tian

AU - Xu, Tao

AU - Meng, Xiang Hua

AU - Zhang, Chun Yi

PY - 2008/5/1

Y1 - 2008/5/1

N2 - A variable-coefficient Kadomtsev-Petviashvili equation is investigated. The Painlevé analysis leads to its explicit Painlevé-integrable conditions. An auto-Bäcklund transformation and the bilinear form are presented via the truncated Painlevé expansion and symbolic computation. Several families of new analytic solutions are presented, including the soliton-like and periodic solutions.

AB - A variable-coefficient Kadomtsev-Petviashvili equation is investigated. The Painlevé analysis leads to its explicit Painlevé-integrable conditions. An auto-Bäcklund transformation and the bilinear form are presented via the truncated Painlevé expansion and symbolic computation. Several families of new analytic solutions are presented, including the soliton-like and periodic solutions.

UR - https://www.scopus.com/pages/publications/46749083005

U2 - 10.1088/0256-307X/25/5/021

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M3 - 文章

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VL - 25

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EP - 1602

JO - Chinese Physics Letters

JF - Chinese Physics Letters

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ER -

Painlevé property and new analytic solutions for a variable-coefficient Kadomtsev-Petviashvili equation with symbolic computation

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