Bright solitons in nonlinear media with a self-defocusing double-well nonlinearity

Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Dec;90(6):063204. doi: 10.1103/PhysRevE.90.063204. Epub 2014 Dec 29.

Abstract

We show that stable bright solitons can appear in a medium with spatially inhomogeneous self-defocusing (SDF) nonlinearity of a double-well structure. For a specific choice of the nonlinearity parameters, we obtain exact analytical solutions for the fundamental bright solitons. By making use of the linear stability analysis, the stability region in the parameter space for the exact fundamental bright soliton is obtained numerically. We also show the bifurcation from an antisymmetric to an asymmetric bright soliton for the SDF double-well nonlinearity.