Coherent interactions of colored solitons via parametric processes: modified perturbation analysis

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Abstract
The coherence characteristics of the interactions between colored solitons are explored employing a novel perturbation model. The model broadens the existing particlelike models for colored solitons and identifies a phase-sensitive force (similar to same-color soliton interaction) and a novel damping coefficient; both are important for describing the soliton capture phenomenon. A soliton-soliton parametric energy exchange is identified and analyzed as the source for capture, escape, and intermediate processes. As the solitons assimilate colorwise, the coupling is enhanced. For low carrier-frequency difference, capture occurs and a complete (periodical) energy exchange between the solitons takes place. The capture process of equal-amplitude solitons with a similar initial phase exhibits an instability that tends to break the captured pair.