Controlled transport of solitons and bubbles using external perturbations

Abstract

We investigate generalized soliton-bearing systems in the presence of external perturbations. We show the possibility of the transport of solitons using external waves, provided the waveform and its velocity satisfy certain conditions. We also investigate the stabilization and transport of bubbles using external perturbations in 3D-systems. We also present the results of real experiments with laser-induced vapor bubbles in liquids.

26 pages, 24 figures

References in corpus (13)

• Brownian motors: noisy transport far from equilibrium
• The World of the Complex Ginzburg-Landau Equation
• Directed current due to broken time-space symmetry
• Chaotic Transport and Current Reversal in Deterministic Ratchets
• Reducing vortex density in superconductors using the ratchet effect
• Cooperative Transport of Brownian Particles
• Collective Interaction-Driven Ratchet for Transporting Flux Quanta
• Depinning of kinks in a Josephson-junction ratchet array
• Rectification of current in ac-driven nonlinear systems and symmetry properties of the Boltzmann equation
• Resonance phenomena of a solitonlike extended object in a bistable potential
• Internal modes of sine-Gordon solitons in the presence of spatiotemporal perturbations
• Metastability of (d+n)-dimensional elastic manifolds
• Soliton tunneling with sub-barrier kinetic energies

Cited by in corpus (7)

• Nonlinearizing linear equations to integrable systems including new hierarchies with nonholonomic deformations
• Bubble-like structures generated by activation of internal shape modes in two-dimensional sine-Gordon line solitons
• 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
• Bubble nucleation around heterogeneities in ${\varphi }^4$-field theories
• Quasi-fluxon bubble dynamics in a rapid oscillatory microwave field