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

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 bubble-like and drop-like structures due to local internal shape modes instabilities. We describe the formation of such structures on the basis of a one-dimensional theory of activation of internal modes of sG solitons. An interpretation of the observed phenomena, in the context of phase transitions theory, is given. Implications in Josephson junctions with a current dipole device are discussed.

10 pages, 9 figures, accepted for publication in Phys. Rev. E

References in corpus (3)

• Kink excitation spectra in the (1+1)-dimensional ${\phi }^8$ model
• Analytical Multi-kinks in smooth potentials
• Orbit based procedure for doublets of scalar fields and the emergence of triple kinks and other defects

Cited by in corpus (8)

• Scattering of the ${\phi }^8$ kinks with power-law asymptotics
• Stability of bubble-like fluxons in disk-shaped Josephson junctions in the presence of a coaxial dipole current
• Generation of soliton bubbles in a sine-Gordon system with localised inhomogeneities
• Highly-enhanced propagation of long-range kinks in heterogeneous media
• An effective description of the impact of inhomogeneities on the movement of the kink front in 2+1 dimensions
• Bubble nucleation around heterogeneities in ${\varphi }^4$-field theories
• Solitons and instantons in vacuum stability: physical phenomena
• Quasi-fluxon bubble dynamics in a rapid oscillatory microwave field