Discrete soliton collisions in a waveguide array with saturable nonlinearity

Abstract

We study the symmetric collisions of two mobile breathers/solitons in a model for coupled wave guides with a saturable nonlinearity. The saturability allows the existence of breathers with high power. Three main regimes are observed: breather fusion, breather reflection and breather creation. The last regime seems to be exclusive of systems with a saturable nonlinearity, and has been previously observed in continuous models. In some cases a ``symmetry breaking'' can be observed, which we show to be an numerical artifact.

5 pages, 7 figures

References in corpus (3)

• Exact Solutions of the Saturable Discrete Nonlinear Schrodinger Equation
• Two-soliton collisions in a near-integrable lattice system
• Mobile Localization in nonlinear Schrodinger lattices

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• Discrete moving breather collisions in a Klein-Gordon chain of oscillators
• The closeness of localised structures between the Ablowitz-Ladik lattice and Discrete Nonlinear Schrödinger equations II: Generalised AL and DNLS systems
• Staggered and short period solutions of the Saturable Discrete Nonlinear Schrödinger Equation
• Breather mobility and the PN potential: Brief review and recent progress
• Collision dynamics of discrete soliton in uniform waveguide arrays
• Soliton shape and mobility control in optical lattices
• Thresholds for breather solutions on the Discrete Nonlinear Schrödinger Equation with saturable and power nonlinearity