PMID: 22587200May 17, 2012Paper

Soliton interactions and complexes for coupled nonlinear Schrödinger equations

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Yan JiangPan Wang

Abstract

Under investigation in this paper are the coupled nonlinear Schrödinger (CNLS) equations, which can be used to govern the optical-soliton propagation and interaction in such optical media as the multimode fibers, fiber arrays, and birefringent fibers. By taking the 3-CNLS equations as an example for the N-CNLS ones (N≥3), we derive the analytic mixed-type two- and three-soliton solutions in more general forms than those obtained in the previous studies with the Hirota method and symbolic computation. With the choice of parameters for those soliton solutions, soliton interactions and complexes are investigated through the asymptotic and graphic analysis. Soliton interactions and complexes with the bound dark solitons in a mode or two modes are observed, including that (i) the two bright solitons display the breatherlike structures while the two dark ones stay parallel, (ii) the two bright and dark solitons all stay parallel, and (iii) the states of the bound solitons change from the breatherlike structures to the parallel one even with the distance between those solitons smaller than that before the interaction with the regular one soliton. Asymptotic analysis is also used to investigate the elastic and inelastic interactions be...Continue Reading

References

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Citations

Mar 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Sushmita ChakrabortyAbhijit Barthakur
Dec 18, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·L E Arroyo MezaM B Hott

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