Direct Approach Based on the Separation of Variables for the Soliton Study of Perturbed Sine-Gordon Equation

Chin. Phys. Lett.

1997, Vol. 14

Issue (9): 671-674 DOI:

Original Articles

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

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YAN Jia-ren, TANG Yi, CHEN Zhen-hua 1997 Chin. Phys. Lett. 14 671-674

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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.

Keywords: 42.65.Tg 42.81.Dp

Published: 01 September 1997

PACS:	42.65.Tg	(Optical solitons; nonlinear guided waves)
	42.81.Dp	(Propagation, scattering, and losses; solitons)

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y1997/V14/I9/0671

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