Solitons and Bäcklund transformation for a generalized (3+1)-dimensional variable-coefficient B-type Kadomtsev-Petviashvili equation in fluid dynamics

Zhong Zhou Lan; Yi Tian Gao; Jin Wei Yang; Chuan Qi Su; Chen Zhao; Zhe Gao

doi:10.1016/j.aml.2016.03.021

Solitons and Bäcklund transformation for a generalized (3+1)-dimensional variable-coefficient B-type Kadomtsev-Petviashvili equation in fluid dynamics

Zhong Zhou Lan
, Yi Tian Gao^*
, Jin Wei Yang
, Chuan Qi Su
, Chen Zhao
, Zhe Gao

^*此作品的通讯作者

航空科学与工程学院

Beihang University

科研成果: 期刊稿件 › 文章 › 同行评审

43 引用（Scopus）

摘要

Under investigation in this paper is a generalized (3+1)-dimensional variable-coefficient B-type Kadomtsev-Petviashvili equation, which describes the propagation of nonlinear waves in fluid dynamics. Bilinear form and Bäcklund transformation are derived by virtue of the Bell polynomials. Besides, the one- and two-soliton solutions are constructed via the Hirota method.

源语言	英语
页（从-至）	96-100
页数	5
期刊	Applied Mathematics Letters
卷	60
DOI	https://doi.org/10.1016/j.aml.2016.03.021
出版状态	已出版 - 1 10月 2016

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title = "Solitons and B{\"a}cklund transformation for a generalized (3+1)-dimensional variable-coefficient B-type Kadomtsev-Petviashvili equation in fluid dynamics",

abstract = "Under investigation in this paper is a generalized (3+1)-dimensional variable-coefficient B-type Kadomtsev-Petviashvili equation, which describes the propagation of nonlinear waves in fluid dynamics. Bilinear form and B{\"a}cklund transformation are derived by virtue of the Bell polynomials. Besides, the one- and two-soliton solutions are constructed via the Hirota method.",

keywords = "(3+1)-dimensional generalized variable-coefficient B-type Kadomtsev-Petviashvili equation, Bell polynomials, B{\"a}cklund transformation, Fluids, Soliton solutions",

author = "Lan, \{Zhong Zhou\} and Gao, \{Yi Tian\} and Yang, \{Jin Wei\} and Su, \{Chuan Qi\} and Chen Zhao and Zhe Gao",

year = "2016",

month = oct,

day = "1",

doi = "10.1016/j.aml.2016.03.021",

language = "英语",

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T1 - Solitons and Bäcklund transformation for a generalized (3+1)-dimensional variable-coefficient B-type Kadomtsev-Petviashvili equation in fluid dynamics

AU - Lan, Zhong Zhou

AU - Gao, Yi Tian

AU - Yang, Jin Wei

AU - Su, Chuan Qi

AU - Zhao, Chen

AU - Gao, Zhe

PY - 2016/10/1

Y1 - 2016/10/1

N2 - Under investigation in this paper is a generalized (3+1)-dimensional variable-coefficient B-type Kadomtsev-Petviashvili equation, which describes the propagation of nonlinear waves in fluid dynamics. Bilinear form and Bäcklund transformation are derived by virtue of the Bell polynomials. Besides, the one- and two-soliton solutions are constructed via the Hirota method.

AB - Under investigation in this paper is a generalized (3+1)-dimensional variable-coefficient B-type Kadomtsev-Petviashvili equation, which describes the propagation of nonlinear waves in fluid dynamics. Bilinear form and Bäcklund transformation are derived by virtue of the Bell polynomials. Besides, the one- and two-soliton solutions are constructed via the Hirota method.

KW - (3+1)-dimensional generalized variable-coefficient B-type Kadomtsev-Petviashvili equation

KW - Bell polynomials

KW - Bäcklund transformation

KW - Fluids

KW - Soliton solutions

UR - https://www.scopus.com/pages/publications/84966263722

U2 - 10.1016/j.aml.2016.03.021

DO - 10.1016/j.aml.2016.03.021

M3 - 文章

AN - SCOPUS:84966263722

SN - 0893-9659

VL - 60

SP - 96

EP - 100

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

ER -

Solitons and Bäcklund transformation for a generalized (3+1)-dimensional variable-coefficient B-type Kadomtsev-Petviashvili equation in fluid dynamics

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