A method to construct the nonlocal symmetries of nonlinear evolution equations

Xiang Peng Xin; Yong Chen

doi:10.1088/0256-307X/30/10/100202

A method to construct the nonlocal symmetries of nonlinear evolution equations

Xiang Peng Xin
, Yong Chen^*

^*Corresponding author for this work

School of Mathematical Sciences

East China Normal University

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

32 Scopus citations

Abstract

A method is proposed to seek the nonlocal symmetries of nonlinear evolution equations. The validity and advantages of the proposed method are illustrated by the applications to the Boussinesq equation, the coupled Korteweg-de Vries system, the Kadomtsev - Petviashvili equation, the Ablowitz - Kaup - Newell - Segur equation and the potential Korteweg-de Vries equation. The facts show that this method can obtain not only the nonlocal symmetries but also the general Lie point symmetries of the given equations.

Original language	English
Article number	100202
Journal	Chinese Physics Letters
Volume	30
Issue number	10
DOIs	https://doi.org/10.1088/0256-307X/30/10/100202
State	Published - Oct 2013

Access to Document

10.1088/0256-307X/30/10/100202

Cite this

@article{80f12cbe12da411d9a485484e6afb90c,

title = "A method to construct the nonlocal symmetries of nonlinear evolution equations",

abstract = "A method is proposed to seek the nonlocal symmetries of nonlinear evolution equations. The validity and advantages of the proposed method are illustrated by the applications to the Boussinesq equation, the coupled Korteweg-de Vries system, the Kadomtsev - Petviashvili equation, the Ablowitz - Kaup - Newell - Segur equation and the potential Korteweg-de Vries equation. The facts show that this method can obtain not only the nonlocal symmetries but also the general Lie point symmetries of the given equations.",

author = "Xin, \{Xiang Peng\} and Yong Chen",

year = "2013",

month = oct,

doi = "10.1088/0256-307X/30/10/100202",

language = "英语",

volume = "30",

journal = "Chinese Physics Letters",

issn = "0256-307X",

publisher = "IOP Publishing Ltd.",

number = "10",

}

TY - JOUR

T1 - A method to construct the nonlocal symmetries of nonlinear evolution equations

AU - Xin, Xiang Peng

AU - Chen, Yong

PY - 2013/10

Y1 - 2013/10

N2 - A method is proposed to seek the nonlocal symmetries of nonlinear evolution equations. The validity and advantages of the proposed method are illustrated by the applications to the Boussinesq equation, the coupled Korteweg-de Vries system, the Kadomtsev - Petviashvili equation, the Ablowitz - Kaup - Newell - Segur equation and the potential Korteweg-de Vries equation. The facts show that this method can obtain not only the nonlocal symmetries but also the general Lie point symmetries of the given equations.

AB - A method is proposed to seek the nonlocal symmetries of nonlinear evolution equations. The validity and advantages of the proposed method are illustrated by the applications to the Boussinesq equation, the coupled Korteweg-de Vries system, the Kadomtsev - Petviashvili equation, the Ablowitz - Kaup - Newell - Segur equation and the potential Korteweg-de Vries equation. The facts show that this method can obtain not only the nonlocal symmetries but also the general Lie point symmetries of the given equations.

UR - https://www.scopus.com/pages/publications/84887067534

U2 - 10.1088/0256-307X/30/10/100202

DO - 10.1088/0256-307X/30/10/100202

M3 - 文章

AN - SCOPUS:84887067534

SN - 0256-307X

VL - 30

JO - Chinese Physics Letters

JF - Chinese Physics Letters

IS - 10

M1 - 100202

ER -

A method to construct the nonlocal symmetries of nonlinear evolution equations

Abstract

Access to Document

Other files and links

Fingerprint

Cite this