Bright and Dark Solitons in a Periodically Attractive and Expulsive Potential with Nonlinearities Modulated in Space and Time
arXiv:0902.3135 · doi:10.1016/j.nonrwa.2010.05.013
Abstract
This work deals with soliton solutions of the nonlinear Schroedinger equation with a diversity of nonlinearities. We solve the equation in a potential which oscillates in time between attractive and expulsive behavior, in the presence of nonlinearities which are modulated in space and time. Despite the presence of the periodically expulsive behavior of the potential, the results show that the nonlinear equation can support a diversity of localized excitations of the bright and dark type which are remarkably robust.
4 pages, 7 figures
References in corpus (11)
- Formation and Propagation of Matter Wave Soliton Trains
- Formation of a Matter-Wave Bright Soliton
- Tuning the scattering length with an optically induced Feshbach resonance
- Dynamics of a Bright Soliton in Bose-Einstein condensates with Time-Dependent Atomic Scattering Length in an Expulsive Parabolic Potential
- Localized nonlinear waves in systems with time- and space-modulated nonlinearities
- 39-K Bose-Einstein condensate with tunable interactions
- Faraday patterns in Bose-Einstein condensates
- Dynamics of a matter-wave bright soliton in an expulsive potential
- Solitons with Cubic and Quintic Nonlinearities Modulated in Space and Time
- Soliton localization in Bose-Einstein condensates with time-dependent harmonic potential and scattering length
- Competition between attractive and repulsive interactions in two-component Bose-Einstein condensates trapped in an optical lattice
Cited by in corpus (10)
- Modulation of localized solutions for the Schrödinger equation with logarithm nonlinearity
- Bright solitons from the nonpolynomial Schrödinger equation with inhomogeneous defocusing nonlinearities
- Modulation of localized solutions in quadratic-cubic nonlinear Schrödinger equation with inhomogeneous coefficients
- Unidimensional reduction of the 3D Gross-Pitaevskii equation with two- and three-body interactions
- Modulation of breathers in the three-dimensional nonlinear Gross-Pitaevskii equation
- Wide Localized Solitons in Systems with Time and Space-Modulated Nonlinearities
- Stability limits for modes held in alternating trapping-expulsive potentials
- Controlled self-similar matter waves in PT-symmetric waveguide
- Trapping wave fields in an expulsive potential by means of linear coupling
- Saturable nonlinear Schrödinger equation with space- and time-dependent variable coefficients