A Simple Method to Generate Lie Point Symmetry Groups of the (3+1)-Dimensional Jimbo--Miwa Equation

Chin. Phys. Lett.

2005, Vol. 22

Issue (3): 554-557 DOI:

Original Articles

A Simple Method to Generate Lie Point Symmetry Groups of the (3+1)-Dimensional Jimbo--Miwa Equation

MA Hong-Cai

Department of Physics, Shanghai Jiao Tong University, Shanghai 200030

Cite this article:

MA Hong-Cai 2005 Chin. Phys. Lett. 22 554-557

Download: PDF(517KB)
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks

Abstract Taking the (3+1)-dimensional Jimbo--Miwa equation as a simple example, we develop a modified direct method to find symmetry groups and symmetry algebras. Some exact solutions of the model are given by the simple method.

Keywords: 05.45.Yv 02.30.Jr 02.30.Ik

Published: 01 March 2005

PACS:	05.45.Yv	(Solitons)
	02.30.Jr	(Partial differential equations)
	02.30.Ik	(Integrable systems)

TRENDMD:

URL:

https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2005/V22/I3/0554

Service
	E-mail this article
	E-mail Alert
	RSS
Articles by authors
	MA Hong-Cai

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): 554-557
[2]	WU Yong-Qi. Exact Solutions to a Toda-Like Lattice Equation in 2+1 Dimensions[J]. Chin. Phys. Lett., 2012, 29(6): 554-557
[3]	HE Jing-Song, WANG You-Ying, LI Lin-Jing. Non-Rational Rogue Waves Induced by Inhomogeneity[J]. Chin. Phys. Lett., 2012, 29(6): 554-557
[4]	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): 554-557
[5]	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): 554-557
[6]	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): 554-557
[7]	CAO Ce-Wen,ZHANG Guang-Yao. Lax Pairs for Discrete Integrable Equations via Darboux Transformations**[J]. Chin. Phys. Lett., 2012, 29(5): 554-557
[8]	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): 554-557
[9]	DAI Zheng-De, WU Feng-Xia, LIU Jun and MU Gui. New Mechanical Feature of Two-Solitary Wave to the KdV Equation**[J]. Chin. Phys. Lett., 2012, 29(4): 554-557
[10]	Mohammad Najafi,Maliheh Najafi,M. T. Darvishi. New Exact Solutions to the (2+1)-Dimensional Ablowitz–Kaup–Newell–Segur Equation: Modification of the Extended Homoclinic Test Approach**[J]. Chin. Phys. Lett., 2012, 29(4): 554-557
[11]	S. Karimi Vanani, F. Soleymani. Application of the Homotopy Perturbation Method to the Burgers Equation with Delay[J]. Chin. Phys. Lett., 2012, 29(3): 554-557
[12]	WANG Jun-Min. Periodic Wave Solutions to a (3+1)-Dimensional Soliton Equation[J]. Chin. Phys. Lett., 2012, 29(2): 554-557
[13]	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): 554-557
[14]	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): 554-557
[15]	LIU Ping, FU Pei-Kai. Note on the Lax Pair of a Coupled Hybrid System**[J]. Chin. Phys. Lett., 2012, 29(1): 554-557

Viewed

Full text

Abstract