Optical soliton perturbation with nonlinear damping and saturable amplifiers |
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| Affiliation: | 1. Department of Mathematics, Sultan Qaboos University, P.O.Box 36, Muscat, Al-Khod 123, Oman;2. University of Technology and Applied Sciences, P.O. Box 14, Ibri 516, Oman;3. Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, AL 35762-4900, USA;4. Mathematical Modeling and Applied Computation (MMAC) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah-21589, Saudi Arabia;5. Department of Applied Mathematics, National Research Nuclear University, 31 Kashirskoe Hwy, Moscow-115409, Russian Federation;6. Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Pretoria, Medunsa-0204, South Africa |
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| Abstract: | The method of multiple-scale perturbation method is developed in a new way to study the propagation of optical solitons through a fiber governed by the perturbed nonlinear Schrödinger’s equation. We show that by newly introducing a proper definition of the phase of the soliton for the first time, one can obtain the correction to the pulse at the higher order. Also, numerical simulations support the analytical argument. |
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