Wobbling kinks in a two-component scalar field theory: Interaction between shape modes

被引：13
作者：
Alonso-Izquierdo, A. [1 ,2 ]
Miguelez-Caballero, D. [3 ,4 ]
Nieto, L. M. [3 ,4 ]
Queiroga-Nunes, J. [1 ,2 ]
机构：
[1] Univ Salamanca, Dept Matemat Aplicada, Casas Parque 2, Salamanca 37008, Spain
[2] Univ Salamanca, IUFFyM, Plaza Merced 1, Salamanca 37008, Spain
[3] Univ Valladolid, Dept Fis Teor Atom & Opt, Valladolid 47011, Spain
[4] Univ Valladolid, IMUVA, Valladolid 47011, Spain
来源：
PHYSICA D-NONLINEAR PHENOMENA | 2023年 / 443卷
关键词：
Topological solitons; Wobbling kinks; Two -component scalar field theory; Perturbation theory; Radiation emission; SINE-GORDON KINKS; ANTIKINK INTERACTIONS; PHASE-SPACE; SOLITONS; SCATTERING; RESONANCE; DEFECTS; PHI-4; COLLISIONS; STABILITY;
D O I：
10.1016/j.physd.2022.133590
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper the interaction between the shape modes of the wobbling kinks arising in the family of two-component MSTB scalar field theory models is studied. The spectrum of the second order small kink fluctuation in this model has two localized vibrational modes associated to longitudinal and orthogonal fluctuations with respect to the kink orbit. It has been found that the excitation of the orthogonal shape mode immediately triggers the longitudinal one. In the first component channel the kink emits radiation with twice the orthogonal wobbling frequency (not the longitudinal one as happens in the 04-model). The radiation emitted in the second component has two dominant frequencies: one is three times the frequency of the orthogonal wobbling mode and the other is the sum of the frequencies of the longitudinal and orthogonal vibration modes. This feature is explained analytically using perturbation expansion theories.(c) 2022 Elsevier B.V. All rights reserved.
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页数：15
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