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

^*Corresponding author for this work

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

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

21 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	1599-1602
Number of pages	4
Journal	Chinese Physics Letters
Volume	25
Issue number	5
DOIs	https://doi.org/10.1088/0256-307X/25/5/021
State	Published - 1 May 2008

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title = "Painlev{\'e} property and new analytic solutions for a variable-coefficient Kadomtsev-Petviashvili equation with symbolic computation",

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

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

M3 - 文章

AN - SCOPUS:46749083005

SN - 0256-307X

VL - 25

SP - 1599

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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