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Interplay between Coherence and Incoherence in Multi-Soliton Complexes

arXiv:patt-sol/9904002 · doi:10.1103/PhysRevLett.83.4736

Abstract

We analyze photo-refractive incoherent soliton beams and their interactions in Kerr-like nonlinear media. The field in each of M incoherently interacting components is calculated using an integrable set of coupled nonlinear Schrodinger equations. In particular, we obtain a general N-soliton solution, describing propagation of multi-soliton complexes and their collisions. The analysis shows that the evolution of such higher-order soliton beams is determined by coherent and incoherent contributions from fundamental solitons. Common features and differences between these internal interactions are revealed and illustrated by numerical examples.

4 pages, 3 figures; submitted to Physical Review