Truncated Painlevé expansion and a wide-ranging type of generalized variable-coefficient Kadomtsev-Petviashvili equations

Bo Tian; Yi Tian Gao

doi:10.1016/0375-9601(95)00836-5

Truncated Painlevé expansion and a wide-ranging type of generalized variable-coefficient Kadomtsev-Petviashvili equations

Bo Tian
, Yi Tian Gao^*

^*Corresponding author for this work

Lanzhou University
China Center of Advanced Science and Technology World Laboratory

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

64 Scopus citations

Abstract

Among the topics attracting much attention in mathematical physics are the variable-coefficient generalizations of the well-known Kadomtsev-Petviashvili equation (GVCKP). We show that the application of the truncated Painlevé expansion and symbolic computation leads to a new class of analytical solutions to a wide-ranging type of GVCKPs, and an auto-Bäcklund transformation. The examples presented are solutions to the cylindrical Kadomtsev-Petviashvili equation and the nearly concentric Korteweg-de Vries equation.

Original language	English
Pages (from-to)	297-304
Number of pages	8
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	209
Issue number	5-6
DOIs	https://doi.org/10.1016/0375-9601(95)00836-5
State	Published - 25 Dec 1995
Externally published	Yes

Access to Document

10.1016/0375-9601(95)00836-5

Cite this

@article{79b5691bc5fa4254b2b6941ae56a0be8,

title = "Truncated Painlev{\'e} expansion and a wide-ranging type of generalized variable-coefficient Kadomtsev-Petviashvili equations",

abstract = "Among the topics attracting much attention in mathematical physics are the variable-coefficient generalizations of the well-known Kadomtsev-Petviashvili equation (GVCKP). We show that the application of the truncated Painlev{\'e} expansion and symbolic computation leads to a new class of analytical solutions to a wide-ranging type of GVCKPs, and an auto-B{\"a}cklund transformation. The examples presented are solutions to the cylindrical Kadomtsev-Petviashvili equation and the nearly concentric Korteweg-de Vries equation.",

author = "Bo Tian and Gao, \{Yi Tian\}",

year = "1995",

month = dec,

day = "25",

doi = "10.1016/0375-9601(95)00836-5",

language = "英语",

volume = "209",

pages = "297--304",

journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",

issn = "0375-9601",

publisher = "Elsevier B.V.",

number = "5-6",

}

TY - JOUR

T1 - Truncated Painlevé expansion and a wide-ranging type of generalized variable-coefficient Kadomtsev-Petviashvili equations

AU - Tian, Bo

AU - Gao, Yi Tian

PY - 1995/12/25

Y1 - 1995/12/25

N2 - Among the topics attracting much attention in mathematical physics are the variable-coefficient generalizations of the well-known Kadomtsev-Petviashvili equation (GVCKP). We show that the application of the truncated Painlevé expansion and symbolic computation leads to a new class of analytical solutions to a wide-ranging type of GVCKPs, and an auto-Bäcklund transformation. The examples presented are solutions to the cylindrical Kadomtsev-Petviashvili equation and the nearly concentric Korteweg-de Vries equation.

AB - Among the topics attracting much attention in mathematical physics are the variable-coefficient generalizations of the well-known Kadomtsev-Petviashvili equation (GVCKP). We show that the application of the truncated Painlevé expansion and symbolic computation leads to a new class of analytical solutions to a wide-ranging type of GVCKPs, and an auto-Bäcklund transformation. The examples presented are solutions to the cylindrical Kadomtsev-Petviashvili equation and the nearly concentric Korteweg-de Vries equation.

UR - https://www.scopus.com/pages/publications/0001287313

U2 - 10.1016/0375-9601(95)00836-5

DO - 10.1016/0375-9601(95)00836-5

M3 - 文章

AN - SCOPUS:0001287313

SN - 0375-9601

VL - 209

SP - 297

EP - 304

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 5-6

ER -

Truncated Painlevé expansion and a wide-ranging type of generalized variable-coefficient Kadomtsev-Petviashvili equations

Abstract

Access to Document

Other files and links

Fingerprint

Cite this