Solitons supported by localized parametric gain

Abstract

We address the existence and properties of one-dimensional solitons maintained by localized parameter gain in focusing and defocusing lossy nonlinear media. Localized parametric gain supports both fundamental and multipole solitons. We found that the family of fundamental solitons is partly stable in focusing nonlinear medium, and completely stable in defocusing medium, while all higher-order solitons are unstable. In addition to numerical results, the existence threshold for the solitons, and a particular stable exact solution are obtained in an exact analytical form.

4 pages, 5 figures

References in corpus (2)

• Intrinsic localized modes in parametrically-driven arrays of nonlinear resonators
• Pinned modes in lossy lattices with local gain and nonlinearity

Cited by in corpus (9)

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• Fundamental and vortex dissipative quadratic solitons supported by spatially localized gain
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• Pinned modes in two-dimensional lossy lattices with local gain and nonlinearity