Soliton molecules in trapped vector Nonlinear Schrodinger systems

Abstract

We study a new class of vector solitons in trapped Nonlinear Schrodinger systems modelling the dynamics of coupled light beams in GRIN Kerr media and atomic mixtures in Bose-Einstein condensates. These solitons exist for different spatial dimensions, their existence is studied by means of a systematic mathematical technique and the analysis is made for inhomogeneous media.

References in corpus (3)

• Formation and Propagation of Matter Wave Soliton Trains
• Rotating optical soliton clusters
• Construction of exact solutions by spatial traslations in inhomogeneous Nonlinear Schrodinger equations. Applications to Bose-Einstein condensation

Cited by in corpus (9)

• Metastable soliton necklaces supported by fractional diffraction and competing nonlinearities
• Nonlinear management of the angular momentum of soliton clusters
• Optical Vortices and Vortex Solitons
• Stable multidimensional soliton stripes in two-component Bose-Einstein condensates
• Complex light: Dynamic phase transitions of a light beam in a nonlinear non-local disordered medium
• Stable high-dimensional weak-light soliton molecules and their active control
• Two-dimensional nonlinear vector states in Bose-Einstein condensates
• Collapse in coupled Nonlinear Schrodinger equations: Sufficient conditions and Applications
• A model for conservative chaos constructed from multi-component Bose-Einstein condensates with a trap in 2 dimensions