Auto-Bäcklund transformation and soliton-type solutions of the generalized variable-coefficient Kadomtsev-Petviashvili equation

Jian Guo Liu; Ye Zhou Li; Guang Mei Wei

doi:10.1088/0256-307X/23/7/004

Auto-Bäcklund transformation and soliton-type solutions of the generalized variable-coefficient Kadomtsev-Petviashvili equation

Jian Guo Liu^*
, Ye Zhou Li
, Guang Mei Wei

^*此作品的通讯作者

数学科学学院

Beijing University of Posts and Telecommunications

科研成果: 期刊稿件 › 文章 › 同行评审

9 引用（Scopus）

摘要

Using the truncated Painlevé expansion, an auto-Bäcklund transformation and soliton-type solutions of the generalized variable-coefficient Kadomtsev-Petviashvili (GKP) equation are obtained by symbolic computation. Since the cylindrical Korteweg-de Vries (cKdV) equation, the cylindrical KP (cKP) equation and the generalized cKP (GcKP) equation are all special cases of the GKP equation, we can also obtain the corresponding results of these equations.

源语言	英语
文章编号	004
页（从-至）	1670-1673
页数	4
期刊	Chinese Physics Letters
卷	23
期	7
DOI	https://doi.org/10.1088/0256-307X/23/7/004
出版状态	已出版 - 1 7月 2006

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abstract = "Using the truncated Painlev{\'e} expansion, an auto-B{\"a}cklund transformation and soliton-type solutions of the generalized variable-coefficient Kadomtsev-Petviashvili (GKP) equation are obtained by symbolic computation. Since the cylindrical Korteweg-de Vries (cKdV) equation, the cylindrical KP (cKP) equation and the generalized cKP (GcKP) equation are all special cases of the GKP equation, we can also obtain the corresponding results of these equations.",

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year = "2006",

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AU - Liu, Jian Guo

AU - Li, Ye Zhou

AU - Wei, Guang Mei

PY - 2006/7/1

Y1 - 2006/7/1

N2 - Using the truncated Painlevé expansion, an auto-Bäcklund transformation and soliton-type solutions of the generalized variable-coefficient Kadomtsev-Petviashvili (GKP) equation are obtained by symbolic computation. Since the cylindrical Korteweg-de Vries (cKdV) equation, the cylindrical KP (cKP) equation and the generalized cKP (GcKP) equation are all special cases of the GKP equation, we can also obtain the corresponding results of these equations.

AB - Using the truncated Painlevé expansion, an auto-Bäcklund transformation and soliton-type solutions of the generalized variable-coefficient Kadomtsev-Petviashvili (GKP) equation are obtained by symbolic computation. Since the cylindrical Korteweg-de Vries (cKdV) equation, the cylindrical KP (cKP) equation and the generalized cKP (GcKP) equation are all special cases of the GKP equation, we can also obtain the corresponding results of these equations.

UR - https://www.scopus.com/pages/publications/33745606154

U2 - 10.1088/0256-307X/23/7/004

DO - 10.1088/0256-307X/23/7/004

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SN - 0256-307X

VL - 23

SP - 1670

EP - 1673

JO - Chinese Physics Letters

JF - Chinese Physics Letters

IS - 7

M1 - 004

ER -

Auto-Bäcklund transformation and soliton-type solutions of the generalized variable-coefficient Kadomtsev-Petviashvili equation

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