Optical solitons in nonlinear directional couplers with spatio-temporal dispersion

Michelle SavescuDepartment of Mathematical Sciences, Delaware State University, Dover, DE, USA.;Department of Mathematics, Kuztown University of Pennsylvania, Kuztown, PA, USA.

A.H. BhrawyFaculty of Science, Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia.;Faculty of Science, Department of Mathematics, Beni-Suef University, Beni-Suef, Egypt.

A.A. AlshaeryFaculty of Science for Girls, Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia.

E.M. HilalFaculty of Science for Girls, Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia.

Kaisar R. KhanCanino School of Engineering Technology, State University of New York, Canton, Canton, NY, USA.

M.F. MahmoodDepartment of Mathematics, Howard University, Washington, DC, USA.

Anjan BiswasDepartment of Mathematical Sciences, Delaware State University, Dover, DE, USA.;Faculty of Science, Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia.Correspondence[email protected]

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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.

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Acknowledgments

The authors therefore thankfully acknowledge and sincerely appreciate this technical and financial support of KAU.

Notes

This research work was funded by the Deanship of Scientific Research (DSR), King Abdulaziz University (KAU) [grant number 14-130/1433 HiCi].

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Optical solitons in nonlinear directional couplers with spatio-temporal dispersion

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Optical solitons in nonlinear directional couplers with spatio-temporal dispersion

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