Asymmetric solitons and domain walls supported by inhomogeneous defocusing nonlinearity

Abstract

We show that an inhomogeneous defocusing nonlinearity that grows toward the periphery in the positive and negative transverse directions at different rates can support strongly asymmetric fundamental and multipole bright solitons, which are stable in wide parameter regions. In the limiting case when nonlinearity is uniform in one direction, solitons transform into stable domain walls (fronts), with constant or oscillating intensity in the homogeneous region, attached to a tail rapidly decaying in the direction of growing nonlinearity.

3 pages, 5 figures, to appear in Optics Letters

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Cited by in corpus (6)

• One-dimensional gap solitons in quintic and cubic-quintic Fractional nonlinear Schrödinger equations with a periodically modulated linear potential
• Bright solitons from the nonpolynomial Schrödinger equation with inhomogeneous defocusing nonlinearities
• Gaussian-like and flat-top solitons of atoms with spatially modulated repulsive interactions
• Solitons and Vortices in Two-dimensional Discrete Nonlinear Schrodinger Systems with Spatially Modulated Nonlinearity
• Exact States in Waveguides With Periodically Modulated Nonlinearity
• Bright Discrete Solitons in Spatially Modulated DNLS Systems