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

机译：（1 + 1） - 二维正弦 - 戈登方程的新非局部对称和保护法

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摘要

A system of linearized equations of the (1+1)-dimensional Sine-Gordon (SG) equation and its B?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.

机译：给出了（1 + 1） - 二维正弦戈登（SG）等式的线性化方程系统及其B？CKLUND变换，不仅确定了非局部对称性，而且还确定了SG方程的非本文保护规律。通过参数扩展程序，获得一系列无限的非局部对称性和无限许多非局部保护法的序列。

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来源
《IC-MSQUARE》|2014年||共4页
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作者
Zufeng Liang; Xiaoyan Tang; Senyue Lou;
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原文格式 PDF
正文语种
中图分类 O411-532;
关键词
dimensional; sequence; sequence;

机译：尺寸;序列;序列;

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1. Infinitely many nonlocal symmetries and conservation laws for the (1+1)-dimensional Sine-Gordon equation [J] . Wang Jian-yong, Tang Xiao-yan, Liang Zu-feng, Journal of Mathematical Analysis and Applications . 2015,第1期

机译：（1 + 1）维Sine-Gordon方程的无限多个非局部对称性和守恒律
2. Multidimensional partial differential equation systems: Nonlocal symmetries, nonlocal conservation laws, exact solutions [J] . Cheviakov AF, Bluman GW Journal of Mathematical Physics . 2010,第10期

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3. ON NONLOCAL SYMMETRIES, NONLOCAL CONSERVATION LAWS AND NONLOCAL TRANSFORMATIONS OF EVOLUTION EQUATIONS: TWO LINEARISABLE HIERARCHIES [J] . NORBERT EULER, MARIANNA EULER Journal of Nonlinear Mathematical Physics . 2009,第4期

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4. New nonlocal symmetries and conservation laws of the (1+1)-dimensional Sine-Gordon equation [C] . Zufeng Liang, Xiaoyan Tang, Senyue Lou IC-MSQUARE . 2014

机译：（1 + 1） - 二维正弦 - 戈登方程的新非局部对称和保护法
5. NONLOCAL LINEAR SECOND-ORDER "EQUATIONS OF MOTION" AND THEIR BALANCE LAWS AND CONSERVATION LAWS: A TECHNIQUE BYPASSING LAGRANGIANS. [D] . GOULD, LAURENCE IRA. 1982

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6. Rogue waves in the two dimensional nonlocal nonlinear Schrödinger equation and nonlocal Klein-Gordon equation [O] . Wei Liu, Jing Zhang, Xiliang Li 2012

机译：二维非局部非线性Schrödinger方程和非局部Klein-Gordon方程中的无赖波
7. New nonlocal symmetries and conservation laws of the (1+1)-dimensional Sine-Gordon equation [O] . Zufeng Liang, Xiaoyan Tang, Senyue Lou 2014

机译：（1 + 1） - 二维正弦 - 戈登方程的新非局部对称和保护法
8. Geometric Theory of Local and Nonlocal Conservation Laws for the Sine-Gordon Equation [R] . Sasaki, R., Bullough, R. K. 1979

机译：sine-Gordon方程局部和非局部守恒律的几何理论

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

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