Extended Jacobi elliptic function method and its applications to (2+1)-dimensional dispersive long-wave equation

Yong Chen; Biao Li; Hong Qing Zhang

doi:10.1088/1009-1963/13/1/002

Extended Jacobi elliptic function method and its applications to (2+1)-dimensional dispersive long-wave equation

Yong Chen^*
, Biao Li
, Hong Qing Zhang

^*此作品的通讯作者

Shanghai Jiao Tong University
Dalian University of Technology
Chinese Academy of Sciences

科研成果: 期刊稿件 › 文章 › 同行评审

15 引用（Scopus）

摘要

An extended Jacobi elliptic function method is proposed for constructing the exact double periodic solutions of nonlinear partial differential equations (PDEs) in a unified way. It is shown that these solutions exactly degenerate to the many types of soliton solutions in a limited condition. The Wu-Zhang equation (which describes the (2+1)-dimensional dispersive long wave) is investigated by this means and more formal double periodic solutions are obtained.

源语言	英语
页（从-至）	5-10
页数	6
期刊	Chinese Physics (Overseas Edition)
卷	13
期	1
DOI	https://doi.org/10.1088/1009-1963/13/1/002
出版状态	已出版 - 1 1月 2004
已对外发布	是

访问文件

10.1088/1009-1963/13/1/002

其它文件与链接

链接到 Scopus 的出版物

引用此

@article{c3c6e565ba5a4e5f877c3b228ca994f7,

title = "Extended Jacobi elliptic function method and its applications to (2+1)-dimensional dispersive long-wave equation",

abstract = "An extended Jacobi elliptic function method is proposed for constructing the exact double periodic solutions of nonlinear partial differential equations (PDEs) in a unified way. It is shown that these solutions exactly degenerate to the many types of soliton solutions in a limited condition. The Wu-Zhang equation (which describes the (2+1)-dimensional dispersive long wave) is investigated by this means and more formal double periodic solutions are obtained.",

keywords = "Double periodic solutions, Jacobi elliptic function, Solitary wave solutions",

author = "Yong Chen and Biao Li and Zhang, \{Hong Qing\}",

year = "2004",

month = jan,

day = "1",

doi = "10.1088/1009-1963/13/1/002",

language = "英语",

volume = "13",

pages = "5--10",

journal = "Chinese Physics (Overseas Edition)",

issn = "1009-1963",

publisher = "IOP Publishing Ltd.",

number = "1",

}

TY - JOUR

T1 - Extended Jacobi elliptic function method and its applications to (2+1)-dimensional dispersive long-wave equation

AU - Chen, Yong

AU - Li, Biao

AU - Zhang, Hong Qing

PY - 2004/1/1

Y1 - 2004/1/1

N2 - An extended Jacobi elliptic function method is proposed for constructing the exact double periodic solutions of nonlinear partial differential equations (PDEs) in a unified way. It is shown that these solutions exactly degenerate to the many types of soliton solutions in a limited condition. The Wu-Zhang equation (which describes the (2+1)-dimensional dispersive long wave) is investigated by this means and more formal double periodic solutions are obtained.

AB - An extended Jacobi elliptic function method is proposed for constructing the exact double periodic solutions of nonlinear partial differential equations (PDEs) in a unified way. It is shown that these solutions exactly degenerate to the many types of soliton solutions in a limited condition. The Wu-Zhang equation (which describes the (2+1)-dimensional dispersive long wave) is investigated by this means and more formal double periodic solutions are obtained.

KW - Double periodic solutions

KW - Jacobi elliptic function

KW - Solitary wave solutions

UR - https://www.scopus.com/pages/publications/3042768400

U2 - 10.1088/1009-1963/13/1/002

DO - 10.1088/1009-1963/13/1/002

M3 - 文章

AN - SCOPUS:3042768400

SN - 1009-1963

VL - 13

SP - 5

EP - 10

JO - Chinese Physics (Overseas Edition)

JF - Chinese Physics (Overseas Edition)

IS - 1

ER -

Extended Jacobi elliptic function method and its applications to (2+1)-dimensional dispersive long-wave equation

摘要

访问文件

其它文件与链接

指纹

引用此