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Periodic and solitary waves in optical fiber Bragg gratings with dispersive reflectivity
Affiliation:1. Mathematics Department, Faculty of Science, Zagazig University, Zagazig, Egypt;2. Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, AL 35762-4900, USA;3. Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia;4. Department of Applied Mathematics, National Research Nuclear University, 31 Kashirskoe Shosse, Moscow 115409, Russian Federation;5. Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria 0008, South Africa;6. Departamento de Matematicas Aplicadas y Sistemas, Universidad Autonoma Metropolitana-Cuajimalpa, Vasco de Quiroga 4871, Mexico City 05348, Mexico;7. Department of Mathematics, Faculty of Arts and Sciences, Near East University, Nicosia 99138, Cyprus;8. Science Program, Texas A&M University at Qatar, PO Box 23874, Doha, Qatar;1. Mathematics Department, Faculty of Science, Zagazig University, Zagazig, Egypt;2. Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, AL 35762–4900, USA;3. Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia;4. Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria 0008, South Africa;5. Department of Applied Mathematics, National Research Nuclear University, 31 Kashirskoe Shosse, Moscow 115409, Russian Federation;6. Department of Mathematics, Faculty of Science and Arts, Yozgat Bozok University, Yozgat 66100, Turkey;7. Radiation Physics Laboratory, Department of Physics, Faculty of Sciences, Badji Mokhtar University, P. O. Box 12, Annaba 23000, Algeria
Abstract:The system of partial differential equations for moving optical solitons in fiber Bragg gratings are studied. The traveling wave reductions are used to look for solutions of the system of equations. The compatibility conditions for the overdetermined system of equations are analyzed and discussed. Periodic and solitary waves in optical fiber gratings are found and illustrated.
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