Bubblelike structures generated by activation of internal shape modes in two-dimensional sine-Gordon line solitons

Mónica A. García-Ñustes, Juan F. Marín, and Jorge A. González
Phys. Rev. E 95, 032222 – Published 27 March 2017

Abstract

Nonlinear waves that collide with localized defects exhibit complex behavior. Apart from reflection, transmission, and annihilation of an incident wave, a local inhomogeneity can activate internal modes of solitons, producing many impressive phenomena. In this work we investigate a two-dimensional sine-Gordon model perturbed by a family of localized forces. We observed the formation of bubblelike and droplike structures due to local internal shape mode instabilities. We describe the formation of such structures on the basis of a one-dimensional theory of activation of internal modes of sine-Gordon solitons. An interpretation of the observed phenomena, in the context of phase transition theory, is given. Implications in Josephson junctions with a current dipole device are discussed.

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  • Received 11 May 2016
  • Revised 11 November 2016

DOI:https://doi.org/10.1103/PhysRevE.95.032222

©2017 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
  1. Physical Systems
Nonlinear Dynamics

Authors & Affiliations

Mónica A. García-Ñustes* and Juan F. Marín

  • Instituto de Física, Pontificia Universidad Católica de Valparaíso, Casilla 4059, Chile

Jorge A. González

  • Department of Physics, Florida International University, Miami, Florida 33199, USA and Department of Natural Sciences, Miami Dade College, 627 SW 27th Ave., Miami, Florida 33135, USA

  • *monica.garcia@pucv.cl
  • juanfmarinm@gmail.com
  • jorgalbert3047@hotmail.com

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Issue

Vol. 95, Iss. 3 — March 2017

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