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Decoupling of solitons in cross‐phase modulation systems
Author(s) -
Du Min,
Chan Andrew K.
Publication year - 1996
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/(sici)1098-2760(19960605)12:2<68::aid-mop5>3.0.co;2-l
Subject(s) - decoupling (probability) , nonlinear system , inverse scattering transform , nonlinear schrödinger equation , physics , soliton , amplitude , inverse scattering problem , inverse , scattering , quantum electrodynamics , quantum mechanics , mathematics , engineering , control engineering , geometry
Abstract Using the coupled amplitude‐phase formulation, an alternate approach to the inverse scattering transform (IST) for solving the coupled nonlinear Schrödinger equation is presented. The solution method to the nonlinear Schrödinger equation (NSE) for a single soliton described in a previous article is extended to the coupled NSE. The solutions reveal certain criteria for decoupling two copropagating solitons in an XPM system. The dynamics of soliton propagation are confirmed by numerical simulations with the use of the local interpolatary cardinal spline (LICS) method. The results agree well with theoretical prediction. © 1996 John Wiley & Sons, Inc.