Solutions of a variable-coefficient Kadomtsev-Petviashvili equation via computer algebra

Bo Tian; Yi Tian Gao

doi:10.1016/S0096-3003(96)00115-4

Solutions of a variable-coefficient Kadomtsev-Petviashvili equation via computer algebra

Bo Tian
, Yi Tian Gao

School of Aeronautic Science and Engineering

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

13 Scopus citations

Abstract

We apply the truncated Painlevé expansion and computer algebra to a type of the variable-coefficient Kadomtsev-Petviashvilli equations and find a class of the analytical solutions, along with the corresponding constraints on the variable coefficients. Shown in this class are the physically meaningful solutions which possess the usual soliton profile.

Original language	English
Pages (from-to)	125-130
Number of pages	6
Journal	Applied Mathematics and Computation
Volume	84
Issue number	2-3
DOIs	https://doi.org/10.1016/S0096-3003(96)00115-4
State	Published - 1997

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title = "Solutions of a variable-coefficient Kadomtsev-Petviashvili equation via computer algebra",

abstract = "We apply the truncated Painlev{\'e} expansion and computer algebra to a type of the variable-coefficient Kadomtsev-Petviashvilli equations and find a class of the analytical solutions, along with the corresponding constraints on the variable coefficients. Shown in this class are the physically meaningful solutions which possess the usual soliton profile.",

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AU - Tian, Bo

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AB - We apply the truncated Painlevé expansion and computer algebra to a type of the variable-coefficient Kadomtsev-Petviashvilli equations and find a class of the analytical solutions, along with the corresponding constraints on the variable coefficients. Shown in this class are the physically meaningful solutions which possess the usual soliton profile.

UR - https://www.scopus.com/pages/publications/23644462112

U2 - 10.1016/S0096-3003(96)00115-4

DO - 10.1016/S0096-3003(96)00115-4

M3 - 文章

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VL - 84

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JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 2-3

ER -

Solutions of a variable-coefficient Kadomtsev-Petviashvili equation via computer algebra

Abstract

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