Controlling the transverse instability of dark solitons and nucleation of vortices by a potential barrier
نویسندگان
چکیده
Manjun Ma,1 R. Carretero-González,2,* P. G. Kevrekidis,3 D. J. Frantzeskakis,4 and B. A. Malomed5 1College of Science, China Jiliang University, Hangzhou, Zhejiang, 310018, P.R. China 2Nonlinear Physics Group, Departamento de Fı́sica Aplicada I, Universidad de Sevilla, Avda. Reina Mercedes s/n., E-41012 Sevilla, Spain 3Department of Mathematics and Statistics, University of Massachusetts, Amherst, Massachusetts 01003-4515, USA 4Department of Physics, University of Athens, Panepistimiopolis, Zografos, Athens 15784, Greece 5Department of Physical Electronics, School of Electrical Engineering, Faculty of Engineering, Tel Aviv University, Tel Aviv IL-69978, Israel (Received 19 April 2010; published 30 August 2010)
منابع مشابه
Transverse instability of strongly coupled dark-bright Manakov vector solitons.
We show, by performing linear stability analysis and direct numerical simulations, that dark-soliton transverse instability is significantly reduced in Kerr media by strong coupling to a bright soliton. High instability suppression can be achieved by use of large-amplitude bright solitons.
متن کاملDark Solitons, Dispersive Shock Waves, and Transverse Instabilities
The nature of transverse instabilities of dark solitons for the (2+1)-dimensional defocusing nonlinear Schrödinger/Gross–Pitaevskĭi (NLS/GP) equation is considered. Special attention is given to the small (shallow) amplitude regime, which limits to the Kadomtsev–Petviashvili (KP) equation. We study analytically and numerically the eigenvalues of the linearized NLS/GP equation. The dispersion re...
متن کاملSuppression of transverse instabilities for vector solitons.
We analyze the transverse instability of two-component spatial solitons in a saturable nonlinear medium, in relation to recent experimental observations of spatial vector solitons in photorefractive media. We present the stability analysis for all three realizations: dark-bright, bright-bright, and dark-dark soliton pairs, and demonstrate that both the nonlinearity saturation and incoherent mod...
متن کاملDark-dark solitons and modulational instability in miscible two-component Bose-Einstein condensates
We investigate the dynamics of two miscible superfluids experiencing fast counterflow in a narrow channel. The superfluids are formed by two distinguishable components of a trapped dilute-gas Bose-Einstein condensate (BEC). The onset of counterflow-induced modulational instability throughout the cloud is observed and shown to lead to the proliferation of dark-dark vector solitons. These soliton...
متن کاملOnset of transverse instabilities of confined dark solitons
We investigate propagating dark soliton solutions of the two-dimensional defocusing nonlinear Schrödinger or Gross-Pitaevskii (NLS-GP) equation that are transversely confined to propagate in an infinitely long channel. Families of single, vortex, and multilobed solitons are computed using a spectrally accurate numerical scheme. The multilobed solitons are unstable to small transverse perturbati...
متن کامل