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

^*Corresponding author for this work

School of Mathematical Sciences

Beijing University of Posts and Telecommunications

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

9 Scopus citations

Abstract

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.

Original language	English
Article number	004
Pages (from-to)	1670-1673
Number of pages	4
Journal	Chinese Physics Letters
Volume	23
Issue number	7
DOIs	https://doi.org/10.1088/0256-307X/23/7/004
State	Published - 1 Jul 2006

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

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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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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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VL - 23

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M1 - 004

ER -

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

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