Vector solitons in nonlinear lattices

Abstract

We consider two-component solitons in a medium with a periodic modulation of the nonlinear coefficient. The modulation enables the existence of complex multihump vector states. In particular, vector solitons composed of dipole and fundamental, or dipole and even double-hump components exist and may be stable. Families of unstable scalar solitons can be stabilized in the vectorial form, due to the coupling to a stable second component.

12 pages, 3 figures, to appear in Optics Letters

References in corpus (11)

• Lie symmetries and solitons in nonlinear systems with spatially inhomogeneous nonlinearities
• Gap solitons in Bose-Einstein condensates in linear and nonlinear optical lattices
• Multi-gap discrete vector solitons
• Soliton modes, stability, and drift in optical lattices with spatially modulated nonlinearity
• Localized modes of binary mixtures of Bose-Einstein condensates in nonlinear optical lattices
• Localized modes in arrays of boson-fermion mixtures
• Matter-wave solitons with a periodic, piecewise-constant nonlinearity
• Solitary Waves Under the Competition of Linear and Nonlinear Periodic Potentials
• Generalized Neighbor-Interaction Models Induced by Nonlinear Lattices
• Symbiotic gap and semi-gap solitons in Bose-Einstein condensates
• Interlaced linear-nonlinear optical waveguide arrays

Cited by in corpus (18)

• Solitons in nonlinear lattices
• Light propagation and localization in modulated photonic lattices and waveguides
• Solitons in combined linear and nonlinear lattice potentials
• One-dimensional gap solitons in quintic and cubic-quintic Fractional nonlinear Schrödinger equations with a periodically modulated linear potential
• The effects of spin-dependent interactions on polarisation of bright polariton solitons
• Solitons supported by localized nonlinearities in periodic media
• Stabilization of one-dimensional solitons against the critical collapse by quintic nonlinear lattices
• Solitary waves in coupled nonlinear Schrodinger equations with spatially inhomogeneous nonlinearities
• Photon-atomic solitons in a Bose-Einstein condensate trapped in a soft optical lattice
• Self-trapping and splitting of bright vector solitons under inhomogeneous defocusing nonlinearities
• Matter-wave solitons and finite-amplitude Bloch waves in optical lattices with a spatially modulated nonlinearity
• Collapse suppression and stabilization of dipole solitons in two-dimensional media with anisotropic semi-local nonlinearity
• Suppression of the critical collapse for one-dimensional solitons by saturable quintic nonlinear lattices
• Spontaneous symmetry breaking of photonic and matter waves in two-dimensional pseudopotentials
• Asymmetric localized states in periodic potentials with a domain wall-like Kerr nonlinearity
• Transfer and scattering of wave packets by a nonlinear trap
• Explicit solutions with non-trivial phase of the inhomogeneous coupled two-component NLS system
• Low-energy effective quantum field theoretic description of excitations about soliton configurations