Quasi-particle theory of optical soliton interaction |
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| Institution: | 1. Department of Applied Mathematics and Theoretical Physics, Delaware State University, 1200 N. DuPont Highway, Dover, DE 19901-2277, USA;2. Center of Excellence in ISEM, Tennessee State University, Nashville, TN 37209-1561, USA;3. Department of Applied Physics, Birla Institute of Technology, Mesra, Ranchi 835215, India;1. Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, AL 35762-7500, USA;2. Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia;3. Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria 0008, South Africa;4. Department of Mathematics, Faculty of Science and Arts, Yozgat Bozok University, 66100 Yozgat, Turkey;1. Physics and Technology Faculty, University of Plovdiv “Paisii Hilendarski”, 24 Tsar Asen Str., 4000 Plovdiv, Bulgaria;2. Institute of Electronics, Bulgarian Academy of Sciences, 72 Tzarigradcko shossee, 1784 Sofia, Bulgaria;3. Faculty of Applied Mathematics and Computer Science, Technical University of Sofia, 8 Kliment Ohridski Bul., 1000 Sofia, Bulgaria;4. Faculty of Pharmacy, Medical University – Plovdiv, 15 Vasil Aprilov Bul., 4002 Plovdiv, Bulgaria;1. Department of Mathematics, Lamar University, Beaumont, TX 77710, USA;2. Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, AL 35762-7500, 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 Mathematics, Howard University, Washington, DC 20059, USA;6. School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan 430212, People''s Republic of China;1. Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt;2. Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, AL 35762–7500, 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 Mathematics, Faculty of Science and Arts, Yozgat Bozok University, 66100 Yozgat, Turkey;6. Radiation Physics Laboratory, Department of Physics, Faculty of Sciences, Badji Mokhtar University, P. O. Box 12, 23000 Annaba, Algeria;7. School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan 430212, People''s Republic of China;8. Institute of Physics Belgrade, Pregrevica 118, 11080 Zemun, Serbia;1. Al-Rafidain University College, Baghdad, 00964, Iraq;2. Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, AL-35762, USA;3. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, 21589, Saudi Arabia;4. Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria, 0008, South Africa;5. School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan, 430212, PR China;6. Science Program, Texas A&M University at Qatar, PO Box-23874, Doha, Qatar;1. Department of Mathematics, Faculty of Science and Arts, Yozgat Bozok University, 66100 Yozgat, Turkey;2. Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, AL 35762, USA;3. Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria 0008, South Africa;4. Science Program, Texas A&M University at Qatar, PO Box 23874, Doha, Qatar |
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| Abstract: | The intra-channel collision of optical solitons, with non-Kerr law nonlinearities, is studied in this paper by the aid of quasi-particle theory. The perturbations terms that are considered in this paper are both of Hamiltonian as well as non-Hamiltonian type. The suppression of soliton–soliton interaction, in presence of these perturbation terms, is achieved. The nonlinearities that are studied in this paper are Kerr, power, parabolic and dual-power laws. The numerical simulations support the quasi-particle theory. |
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