ADIABATIC BEHAVIOR OF SINE-GORDON SOLITONS IN THE PRESENCE OF PERTURBATIONS

被引:12
作者
SPATSCHEK, KH
机构
[1] Fachbereich Physik, Universität Essen - Gesamthochschule, Essen 1, D-4300
来源
ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER | 1979年 / 32卷 / 04期
关键词
D O I
10.1007/BF02109473
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
The behavior of sine-Gordon solitons in the presence of weak perturbations is considered. The procedure is based on the exact inverse scattering solution of the unperturbed sine-Gordon equation. Accounting for perturbations such as those arising from impurities, external forces as well damping and spatially inhomogeneous frequencies the corresponding perturbed operator equation can be solved by the Green's function technique if one expands the Green's operator in terms of a set of biorthogonal eigenfunctions. Ordinary linear differential equations prescribing the time evolution of the scattering data are obtained. Instead of solving the inverse scattering problem completely the adiabatic assumption is then used anticipating the result that solitons maintain their integrity to a high degree. Explicit solutions for the one-soliton dynamics are presented. © 1979 Springer-Verlag.
引用
收藏
页码:425 / 430
页数:6
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