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| VOLUME 101 (2015) | ISSUE 7 | PAGE 550 |
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The effect of the φ4 kink's internal mode during scattering on
 -symmetric defect
D. Saadatmand, S. V. Dmitriev+*, D. I. Borisov×∇, P. G. Kevrekidis°, M. A. Fatykhov∇, K. Javidan
Department of Physics, Ferdowsi University of Mashhad, 91775-1436 Mashhad, Iran +Institute for Metals Superplasticity Problems RAS, 450001 Ufa, Russia *National Research Tomsk State University, 634036 Tomsk, Russia ×Institute of Mathematics CC USC RAS, 450008 Ufa, Russia °Department of Mathematics and Statistics, University of Massachusetts, MA 01003 Amherst, USA ∇Bashkir State Pedagogical University, 450000 Ufa, Russia
Abstract
The effect of the φ4 kink's internal mode (IM) during the scattering from a -symmetric defect is
investigated. It is demonstrated that if a φ4 kink hits the
defect from the gain side, a noticeable IM is excited, while for
the kink coming from the opposite direction the mode excitation is
much weaker. In the case when the kink initially carries IM, the
IM amplitude is affected by the defect if the kink moves from the
gain side and it is not affected when the kink moves in the
opposite direction. A two degree of freedom collective variable
model is shown to be capable of reproducing principal findings of
the present work.
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