New nonlocal symmetries and conservation laws of the (1+1)-dimensional Sine-Gordon equation

Zufeng Liang; Xiaoyan Tang; Senyue Lou

doi:10.1088/1742-6596/490/1/012032

New nonlocal symmetries and conservation laws of the (1+1)-dimensional Sine-Gordon equation

Zufeng Liang
, Xiaoyan Tang
, Senyue Lou

科研成果: 期刊稿件 › 会议文章 › 同行评审

5 引用（Scopus）

摘要

A system of linearized equations of the (1+1)-dimensional Sine-Gordon (SG) equation and its Bäcklund transformation are given to determine not only nonlocal symmetries but also nonlocal conservation laws of the SG equation. Through the parameter expansion procedure, a sequence of infinitely many nonlocal symmetries and a sequence of infinitely many nonlocal conservation laws are obtained.

源语言	英语
文章编号	012032
期刊	Journal of Physics: Conference Series
卷	490
期	1
DOI	https://doi.org/10.1088/1742-6596/490/1/012032
出版状态	已出版 - 2014
已对外发布	是
活动	2nd International Conference on Mathematical Modeling in Physical Sciences 2013, IC-MSQUARE 2013 - Prague, 捷克共和国期限: 1 9月 2013 → 5 9月 2013

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10.1088/1742-6596/490/1/012032

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abstract = "A system of linearized equations of the (1+1)-dimensional Sine-Gordon (SG) equation and its B{\"a}cklund transformation are given to determine not only nonlocal symmetries but also nonlocal conservation laws of the SG equation. Through the parameter expansion procedure, a sequence of infinitely many nonlocal symmetries and a sequence of infinitely many nonlocal conservation laws are obtained.",

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AU - Liang, Zufeng

AU - Tang, Xiaoyan

AU - Lou, Senyue

PY - 2014

Y1 - 2014

N2 - A system of linearized equations of the (1+1)-dimensional Sine-Gordon (SG) equation and its Bäcklund transformation are given to determine not only nonlocal symmetries but also nonlocal conservation laws of the SG equation. Through the parameter expansion procedure, a sequence of infinitely many nonlocal symmetries and a sequence of infinitely many nonlocal conservation laws are obtained.

AB - A system of linearized equations of the (1+1)-dimensional Sine-Gordon (SG) equation and its Bäcklund transformation are given to determine not only nonlocal symmetries but also nonlocal conservation laws of the SG equation. Through the parameter expansion procedure, a sequence of infinitely many nonlocal symmetries and a sequence of infinitely many nonlocal conservation laws are obtained.

UR - https://www.scopus.com/pages/publications/84897014632

U2 - 10.1088/1742-6596/490/1/012032

DO - 10.1088/1742-6596/490/1/012032

M3 - 会议文章

AN - SCOPUS:84897014632

SN - 1742-6588

VL - 490

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

IS - 1

M1 - 012032

T2 - 2nd International Conference on Mathematical Modeling in Physical Sciences 2013, IC-MSQUARE 2013

Y2 - 1 September 2013 through 5 September 2013

ER -

New nonlocal symmetries and conservation laws of the (1+1)-dimensional Sine-Gordon equation

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