Chin. Phys. Lett.  2002, Vol. 19 Issue (1): 1-3    DOI:
Original Articles |
Symmetry Analysis of (2+1)-Dimensional Nonlinear Klein-Gordon Equations
TANG Xiao-Yan1;LOU Sen-Yue1,2
1Department of Physics, Shanghai Jiao Tong University, Shanghai 200030 2Department of Physics, Ningbo University, Ningbo 315211
Cite this article:   
TANG Xiao-Yan, LOU Sen-Yue 2002 Chin. Phys. Lett. 19 1-3
Download: PDF(179KB)  
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
Abstract We have obtained types of two-dimensional similarity reductions for the (2+1)-dimensional Klein-Gordon system using the standard classical Lie group approach with computer algebra. The well-known one-dimensional reductions, radial and traveling reductions are equivalent to the two special cases of our general two-dimensional reductions.
Keywords: 03.40.Kf      02.30.-f     
Published: 01 January 2002
PACS:  03.40.Kf  
  02.30.-f (Function theory, analysis)  
TRENDMD:   
URL:  
https://cpl.iphy.ac.cn/       OR      https://cpl.iphy.ac.cn/Y2002/V19/I1/01
Service
E-mail this article
E-mail Alert
RSS
Articles by authors
TANG Xiao-Yan
LOU Sen-Yue
Related articles from Frontiers Journals
[1] YUAN Jin-Hui, YU Chong-Xiu, SANG Xin-Zhu, LI Wen-Jing, ZHOU Gui-Yao, LI Shu-Guang, HOU Lan-Tian. Investigation on Guided-Mode Characteristics of Hollow-Core Photonic Crystal Fibre at Near-Infrared Wavelengths[J]. Chin. Phys. Lett., 2009, 26(3): 1-3
[2] ZHA Qi-Lao, LI Zhi-Bin. Periodic Wave Solutions of Generalized Derivative Nonlinear Schrödinger Equation[J]. Chin. Phys. Lett., 2008, 25(11): 1-3
[3] ZHA Qi-Lao, LI Zhi-Bin. Darboux Transformation and Multi-Solitons for Complex mKdV Equation[J]. Chin. Phys. Lett., 2008, 25(1): 1-3
[4] Ekrem Aydiner. Stretched Exponential Relaxation in Disordered Complex Systems: Fractal Time Random Walk Model[J]. Chin. Phys. Lett., 2007, 24(6): 1-3
[5] WANG Jin-Feng, LIU Yang, XU You-Sheng, WU Feng-Min. Lattice Boltzmann Simulation for the Optimized Surface Pattern in a Micro-Channel[J]. Chin. Phys. Lett., 2007, 24(10): 1-3
[6] LIN Ji, CHENG Xue-Ping, YE Li-Jun. Soliton and Periodic Travelling Wave Solutions for Quadratic Nonlinear Media[J]. Chin. Phys. Lett., 2006, 23(1): 1-3
[7] XU You-Sheng, ZHONG Yi-Jun, HUANG Guo-Xiang. Lattice Boltzmann Method for Diffusion-Reaction-Transport Processes in Heterogeneous Porous Media[J]. Chin. Phys. Lett., 2004, 21(7): 1-3
[8] HE Kai-Fen. Hopf Bifurcation in a Nonlinear Wave System[J]. Chin. Phys. Lett., 2004, 21(3): 1-3
[9] XU You-Sheng, , LIU Yang, HUANG Guo-Xiang. Using Digital Imaging to Characterize Threshold Dynamic Parameters in Porous Media Based on Lattice Boltzmann Method[J]. Chin. Phys. Lett., 2004, 21(12): 1-3
[10] QU Chang-Zheng, YAO Ruo-Xia, LI Zhi-Bin. Two-Component Wadati--Konno--Ichikawa Equation and Its Symmetry Reductions[J]. Chin. Phys. Lett., 2004, 21(11): 1-3
[11] LI Yong, SONG Jian ZHANG Zhi-Min. Equivalent Anti-symmetry Performance of Three-Dimensional Hetergeneous Anisotropic Composites[J]. Chin. Phys. Lett., 2003, 20(8): 1-3
[12] SHI Li-Na, CAI Hao, LI Cheng-Fang, HUANG Nian-Ning. Conservation Laws in Sine-Gordon Equation [J]. Chin. Phys. Lett., 2003, 20(7): 1-3
[13] ZHENG Chun-Long, , ZHANG Jie-Fang, HUANG Wen-Hua, CHEN Li-Qun. Peakon and Foldon Excitations In a (2+1)-Dimensional Breaking Soliton System[J]. Chin. Phys. Lett., 2003, 20(6): 1-3
[14] ZHANG Jie-Fang, ZHENG Chun-Long, MENG Jian-Ping, FANG Jian-Ping. Chaotic Dynamical Behaviour in Soliton Solutions for a New (2+1)-Dimensional Long Dispersive Wave System[J]. Chin. Phys. Lett., 2003, 20(4): 1-3
[15] CAI Hao, HUANG Nian-Ning. Green’s Function Method for Perturbed Korteweg-de Vries Equation[J]. Chin. Phys. Lett., 2003, 20(4): 1-3
Viewed
Full text


Abstract