Direct Approach Based on the Separation of Variables for the Soliton Study of Perturbed Sine-Gordon Equation
YAN Jia-ren, TANG Yi, CHEN Zhen-hua1
Department of Physics, Hunan Normal University, Changsha 410081
1Institute of Nonequilibrium Materials, South-Central University of Technology, Changsha 410083
Direct Approach Based on the Separation of Variables for the Soliton Study of Perturbed Sine-Gordon Equation
YAN Jia-ren;TANG Yi;CHEN Zhen-hua1
Department of Physics, Hunan Normal University, Changsha 410081
1Institute of Nonequilibrium Materials, South-Central University of Technology, Changsha 410083
Abstract： A new direct approach based on the separation of variables for the study of soliton perturbations is developed. As an example, the effects of perturbation on a soliton (kink), i.e., both the time-dependence of soliton parameters and the first-order correction are derived for perturbed sine-Gordon equation. Our approach is very concise and easy to understand, and it can be extended directly to deal with other nonlinear evolution equations.
YAN Jia-ren;TANG Yi;CHEN Zhen-hua. Direct Approach Based on the Separation of Variables for the Soliton Study of Perturbed Sine-Gordon Equation[J]. 中国物理快报, 1997, 14(9): 671-674.
YAN Jia-ren, TANG Yi, CHEN Zhen-hua. Direct Approach Based on the Separation of Variables for the Soliton Study of Perturbed Sine-Gordon Equation. Chin. Phys. Lett., 1997, 14(9): 671-674.
1997, Vol. 14 
