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Comment on "pi kinks in strongly ac driven sine-Gordon systems".

作者信息

Itin A P

机构信息

Space Research Institute, Russian Academy of Sciences, Profsoyuznaya Street 84/32, 117810 Moscow, Russia.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Feb;63(2 Pt 2):028601. doi: 10.1103/PhysRevE.63.028601. Epub 2001 Jan 12.

Abstract

V. Zharnitsky, I. Mitkov, and N. Gronbech-Jensen [Phys. Rev. E 58, 1, R52 (1998)] found that pi kinks can propagate in strongly perturbed, directly driven rescaled sine-Gordon system provided that the parameters are chosen to make 2pi kink localization vanish. In this paper we would like to note that beside pi and 2pi kinks there can exist other kinklike solutions due to the fact that two unstable equilibria in the sine-Gordon phase emerging at a critical value of the drive amplitude are not necessarily separated by pi, to the contrary with the result of Zharnitsky, Mitkov, and Gronbech-Jensen. As a result, for the nondissipative system two one-parameter families of kink solutions exist that in the degenerate case become a one-parameter family of pi-kink solutions obtained in Zharnitsky, Mitkov, and Gronbech-Jensen. In the dissipative case velocity is selected for each of the two families of kink solutions by the balance between perturbations.

摘要

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