Chin. Phys. Lett.  2004, Vol. 21 Issue (8): 1449-1452    DOI:
Original Articles |
New Variable Separated Solutions and Ghoston Structure for the (2+1)-Dimensional Sine-Gordon System
ZHANG Jie-Fang;LAI Xian-Jing
Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004
Cite this article:   
ZHANG Jie-Fang, LAI Xian-Jing 2004 Chin. Phys. Lett. 21 1449-1452
Download: PDF(572KB)  
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
Abstract The Bäcklund transformation and variable separation approach are developed for sine-Gordon systems. Three new types of variable separated solutions with some arbitrary functions have been obtained. A new kind of ghoston structure, which is invisible at most of time and can only be detected when it meets with a foldon, is found. This new structure shows a novel interesting and mysterious phenomenon.


Keywords: 05.45.Yv      02.30.Jr      02.30.Ik     
Published: 01 August 2004
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/Y2004/V21/I8/01449
Service
E-mail this article
E-mail Alert
RSS
Articles by authors
ZHANG Jie-Fang
LAI Xian-Jing
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): 1449-1452
[2] WU Yong-Qi. Exact Solutions to a Toda-Like Lattice Equation in 2+1 Dimensions[J]. Chin. Phys. Lett., 2012, 29(6): 1449-1452
[3] HE Jing-Song, WANG You-Ying, LI Lin-Jing. Non-Rational Rogue Waves Induced by Inhomogeneity[J]. Chin. Phys. Lett., 2012, 29(6): 1449-1452
[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): 1449-1452
[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): 1449-1452
[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): 1449-1452
[7] CAO Ce-Wen**,ZHANG Guang-Yao. Lax Pairs for Discrete Integrable Equations via Darboux Transformations[J]. Chin. Phys. Lett., 2012, 29(5): 1449-1452
[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): 1449-1452
[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): 1449-1452
[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): 1449-1452
[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): 1449-1452
[12] WANG Jun-Min. Periodic Wave Solutions to a (3+1)-Dimensional Soliton Equation[J]. Chin. Phys. Lett., 2012, 29(2): 1449-1452
[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): 1449-1452
[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): 1449-1452
[15] LIU Ping**, FU Pei-Kai. Note on the Lax Pair of a Coupled Hybrid System[J]. Chin. Phys. Lett., 2012, 29(1): 1449-1452
Viewed
Full text


Abstract