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Optical solitons in nonlinear directional couplers with spatio-temporal dispersion
Authors:Michelle Savescu  A.H. Bhrawy  A.A. Alshaery  E.M. Hilal  Kaisar R. Khan  M.F. Mahmood
Affiliation:1. Department of Mathematical Sciences, Delaware State University, Dover, DE, USA.;2. Department of Mathematics, Kuztown University of Pennsylvania, Kuztown, PA, USA.;3. Faculty of Science, Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia.;4. Faculty of Science, Department of Mathematics, Beni-Suef University, Beni-Suef, Egypt.;5. Faculty of Science for Girls, Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia.;6. Canino School of Engineering Technology, State University of New York, Canton, Canton, NY, USA.;7. Department of Mathematics, Howard University, Washington, DC, USA.
Abstract:This paper addresses solitons in nonlinear directional couplers in non-Kerr law media, with spatio-temporal dispersion. Both twin-core couplers as well as multiple-core couplers are studied. The nonlinearities studied are Kerr law, power law, parabolic law, dual-power law and log law. Bright, dark and singular soliton solutions of the governing equation are studied.
Keywords:couplers  integrability  solitons  non-Kerr law nonlinearity
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