Solitary waves in coupled nonlinear Schrodinger equations with spatially inhomogeneous nonlinearities
arXiv:1001.2425 · doi:10.1016/j.cnsns.2010.02.024
Abstract
Using Lie group theory we construct explicit solitary wave solutions of coupled nonlinear Schrodinger systems with spatially inhomogeneous nonlinearities. We present the general theory, use it to construct different families of explicit solutions and study their linear and dynamical stability.
References in corpus (10)
- Tuning the scattering length with an optically induced Feshbach resonance
- Lie symmetries and solitons in nonlinear systems with spatially inhomogeneous nonlinearities
- Localized nonlinear waves in systems with time- and space-modulated nonlinearities
- Transmission of matter wave solitons through nonlinear traps and barriers
- Localized modes in arrays of boson-fermion mixtures
- Modulated Amplitude Waves in Collisionally Inhomogeneous Bose-Einstein Condensates
- Matter-wave solitons with a periodic, piecewise-constant nonlinearity
- Vector solitons in nonlinear lattices
- Soliton oscillations in collisionally inhomogeneous attractive Bose-Einstein condensates
- Partial delocalization of two-component condensates in optical lattices
Cited by in corpus (12)
- Solitons in nonlinear lattices
- On Symmetries and Exact Solutions of a Class of Non-local Non-linear Schrodinger Equations with Self-induced PT-symmetric Potential
- Nonparaxial elliptic waves and solitary waves in coupled nonlinear Helmholtz equations
- Self-trapping and splitting of bright vector solitons under inhomogeneous defocusing nonlinearities
- Effect of scattering lengths on the dynamics of a two-component Bose-Einstein condensate
- Spontaneous generation of dark-bright and dark-antidark solitons upon quenching a particle-imbalanced bosonic mixture
- Solitons and vortices in nonlinear potential wells
- Proportionality of components, Liouville theorems and a priori estimates for noncooperative elliptic systems
- Stable dipole solitons and soliton complexes in the nonlinear Schrodinger equation with periodically modulated nonlinearity
- Constructing Solvable Models of Vector Non-linear Schrodinger Equation with Balanced Loss and Gain via Non-unitary transformation
- Integrable Local and Non-local Vector Non-linear Schrodinger Equation with Balanced loss and Gain
- Explicit solutions with non-trivial phase of the inhomogeneous coupled two-component NLS system