Conservation Laws in Sine-Gordon Equation

Chin. Phys. Lett.

2003, Vol. 20

Issue (7): 1003-1005 DOI:

Original Articles

Conservation Laws in Sine-Gordon Equation

SHI Li-Na;CAI Hao;LI Cheng-Fang;HUANG Nian-Ning

Department of Physics, Wuhan University, Wuhan 430072

Cite this article:

SHI Li-Na, CAI Hao, LI Cheng-Fang et al 2003 Chin. Phys. Lett. 20 1003-1005

Download: PDF(181KB)
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks

Abstract There are two conservation quantities needed to derive conservation laws of sine-Gordon equation in a frame of laboratory reference. One of them could be derived easily with a standard process, but the other could not. After the gauge transformation e^-iθσ₂/2 is introduced, we simply obtain the other one without any questionable assumption.

Keywords: 05.45.Yv 02.30.-f 11.10.Ef

Published: 01 July 2003

PACS:	05.45.Yv	(Solitons)
	02.30.-f	(Function theory, analysis)
	11.10.Ef	(Lagrangian and Hamiltonian approach)

TRENDMD:

URL:

https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2003/V20/I7/01003

Service
	E-mail this article
	E-mail Alert
	RSS
Articles by authors
	SHI Li-Na
	CAI Hao
	LI Cheng-Fang
	HUANG Nian-Ning

Related articles from Frontiers Journals

[1]	E. M. E. Zayed, S. A. Hoda Ibrahim. Exact Solutions of Nonlinear Evolution Equations in Mathematical Physics Using the Modified Simple Equation Method[J]. Chin. Phys. Lett., 2012, 29(6): 1003-1005
[2]	HE Jing-Song, WANG You-Ying, LI Lin-Jing. Non-Rational Rogue Waves Induced by Inhomogeneity[J]. Chin. Phys. Lett., 2012, 29(6): 1003-1005
[3]	YANG Zheng-Ping, ZHONG Wei-Ping. Self-Trapping of Three-Dimensional Spatiotemporal Solitary Waves in Self-Focusing Kerr Media[J]. Chin. Phys. Lett., 2012, 29(6): 1003-1005
[4]	CUI Kai. New Wronskian Form of the N-Soliton Solution to a (2+1)-Dimensional Breaking Soliton Equation[J]. Chin. Phys. Lett., 2012, 29(6): 1003-1005
[5]	S. Hussain. The Effect of Spectral Index Parameter κ on Obliquely Propagating Solitary Wave Structures in Magneto-Rotating Plasmas[J]. Chin. Phys. Lett., 2012, 29(6): 1003-1005
[6]	YAN Jia-Ren,ZHOU Jie,AO Sheng-Mei. The Dynamics of a Bright–Bright Vector Soliton in Bose–Einstein Condensation**[J]. Chin. Phys. Lett., 2012, 29(5): 1003-1005
[7]	Saliou Youssoufa, Victor K. Kuetche, Timoleon C. Kofane. Generation of a New Coupled Ultra-Short Pulse System from a Group Theoretical Viewpoint: the Cartan Ehresman Connection[J]. Chin. Phys. Lett., 2012, 29(2): 1003-1005
[8]	Hermann T. Tchokouansi, Victor K. Kuetche, Abbagari Souleymanou, Thomas B. Bouetou, Timoleon C. Kofane. Generating a New Higher-Dimensional Ultra-Short Pulse System: Lie-Algebra Valued Connection and Hidden Structural Symmetries[J]. Chin. Phys. Lett., 2012, 29(2): 1003-1005
[9]	CHEN Shou-Ting, ZHU Xiao-Ming, LI Qi, CHEN Deng-Yuan . N-Soliton Solutions for the Four-Potential Isopectral Ablowitz–Ladik Equation**[J]. Chin. Phys. Lett., 2011, 28(6): 1003-1005
[10]	ZHAO Song-Lin, ZHANG Da-Jun, CHEN Deng-Yuan . A Direct Linearization Method of the Non-Isospectral KdV Equation**[J]. Chin. Phys. Lett., 2011, 28(6): 1003-1005
[11]	WU Jian-Ping . Bilinear Bäcklund Transformation for a Variable-Coefficient Kadomtsev–Petviashvili Equation[J]. Chin. Phys. Lett., 2011, 28(6): 1003-1005
[12]	ZHAO Hai-Qiong, ZHU Zuo-Nong, ZHANG Jing-Li . Hamiltonian Structures and Integrability for a Discrete Coupled KdV-Type Equation Hierarchy**[J]. Chin. Phys. Lett., 2011, 28(5): 1003-1005
[13]	ZHANG Zhi-Qiang, WANG Deng-Long, LUO Xiao-Qing, HE Zhang-Ming, DING Jian-Wen . Controlling of Fusion of Two Solitons in a Two-Component Condensate by an Anharmonic External Potential**[J]. Chin. Phys. Lett., 2011, 28(5): 1003-1005
[14]	WU Jian-Ping . A New Wronskian Condition for a (3+1)-Dimensional Nonlinear Evolution Equation**[J]. Chin. Phys. Lett., 2011, 28(5): 1003-1005
[15]	CHEN Xiang-Wei, MEI Feng-Xiang . Jacobi Last Multiplier Method for Equations of Motion of Constrained Mechanical Systems**[J]. Chin. Phys. Lett., 2011, 28(4): 1003-1005

Viewed

Full text

Abstract