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^*

^*此作品的通讯作者

Lanzhou University
China Center of Advanced Science and Technology World Laboratory

科研成果: 期刊稿件 › 文章 › 同行评审

64 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	297-304
页数	8
期刊	Physics Letters, Section A: General, Atomic and Solid State Physics
卷	209
期	5-6
DOI	https://doi.org/10.1016/0375-9601(95)00836-5
出版状态	已出版 - 25 12月 1995
已对外发布	是

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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.",

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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

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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

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