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
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
关键词 ：
05.45.Yv ,
02.30.Jr ,
02.30.Ik
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.
Key words ：
05.45.Yv
02.30.Jr
02.30.Ik
出版日期: 2004-08-01
引用本文:
ZHANG Jie-Fang;LAI Xian-Jing. New Variable Separated Solutions and Ghoston Structure for the (2+1)-Dimensional Sine-Gordon System[J]. 中国物理快报, 2004, 21(8): 1449-1452.
链接本文:
https://cpl.iphy.ac.cn/CN/
或
https://cpl.iphy.ac.cn/CN/Y2004/V21/I8/1449
[1]
CHENG Yong-Shan;GONG Rong-Zhou;LI Hong. Motion of a Bose--Einstein Condensate Bright Soliton Incident on a Step-Like Potential
[2]
HU Heng-Chun;ZHU Hai-Dong. New Doubly Periodic Waves of the (2+1)-Dimensional Double Sine-Gordon Equation
[3]
ZHANG Da-Jun. Grammian Solutions to a Non-Isospectral Kadomtsev--Petviashvili Equation
[4]
WEN Zhen-Ying;ZHAO Hong;WANG Shun-Jin;ZHANG Xiu-Ming. Effect of Nonlinearity on Scattering Dynamics of Solitary Waves
[5]
LIU Jian-Guo;LI Ye-Zhou;WEI Guang-Mei. Auto-Bäcklund Transformation and Soliton-Type Solutions of the Generalized Variable-Coefficient Kadomtsev--Petviashvili Equation
[6]
DENG Shu-Fang. Exact Solutions for a Nonisospectral and Variable-Coefficient Kadomtsev--Petviashvili Equation
[7]
CHEN Jian-Qing;GUO Bo-Ling. On Finding Global Smooth Solutions to the Landau--Lifshitz Equation
[8]
LI Wen-Min;GENG Xian-Guo. Darboux Transformation of a Differential--Difference Equation and Its Explicit Solutions
[9]
DAI Zheng-De;JIANG Mu-Rong;DAI Qing-Yun;LI Shao-Lin. Homoclinic Bifurcation for Boussinesq Equation with Even Constraint
[10]
TANG Xiao-Yan;HUANG Fei;;LOU Sen-Yue;. Variable Coefficient KdV Equation and the Analytical Diagnoses of a Dipole Blocking Life Cycle
[11]
ZHANG Shun-Li;; QU Chang-Zheng. Approximate Generalized Conditional Symmetries for the Perturbed Nonlinear Diffusion--Convection Equations
[12]
ZHU Jun-Yi;GENG Xian-Guo. Solution of Gauss--Codazzi Equation with Applications in the Tzitzeica Equation
[13]
LOU Sen-Yue;LI Yi-Shen;. Exact Solutions of (2+1)-Dimensional Euler Equation Found by Weak Darboux Transformation
[14]
WU Yong-Qi. Algebro-Geometric Solution to Two New (2+1)-Dimensional Modified Kadomtsev--Petviashvili Equations
[15]
ZHANG Shun-Li;;WANG Peng-Zhou;QU Chang-Zheng. Approximate Generalized Conditional Symmetries for the Perturbed General KdV--Burgers Equation
2004, Vol. 21 
