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SASSI AOUADI1, HOURIA TRIKI2, ANJAN BISWAS3,4,5,6,* , SALAM KHAN3, LUMINITA MORARU7, SEITHUTI P. MOSHOKOA6, ALI SALEH ALSHOMRANI4
- Radiation and Matter Physics Laboratory, Matter Sciences Department, Mohamed-Cherif Messaadia University, P.O. Box 1553, Souk-Ahras, 41000, Algeria
- Radiation Physics Laboratory, Department of Physics, Faculty of Sciences, Badji Mokhtar University, P. O. Box 12, 23000 Annaba, Algeria
- Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, AL 35762-7500, USA
- Department of Mathematics, King Abdulaziz University, Jeddah-21589, Saudi Arabia
- Department of Applied Mathematics, National Research Nuclear University, 31 Kashirskoe Sosse, Moscow-115409, Russian Federation
- Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria 0008, South Africa
- Faculty of Sciences and Environment, Department of Chemistry, Physics and Environment, Dunarea de Jos University of Galati, 47 Domneasca Street, 800008, Romania
We consider the evolution of attosecond light pulses in an optical fiber medium wherein the pulse propagation is governed by a fifth-order nonlinear Schrödinger equation with constant coefficients. In addition to the cubic nonlinearity and group velocity dispersion terms, the model incorporates the third-, fourth-, and fifth-order dispersion and nonlinear terms related to them. Using a complex envelope function ansatz, we find the analytical solitary wave solutions of the model under some parametric conditions. The reported solutions describe bright and dark solitary waves that propagate on a continuous wave background in the presence of higher-order effects. The constraint relations among the optical material parameters for the existence of these localized structures are also discussed..
Fifth-order nonlinear Schrödinger equation; optical fiber; solitary wave solution.
Submitted at: Dec. 13, 2018
Accepted at: Dec. 10, 2019
SASSI AOUADI, HOURIA TRIKI, ANJAN BISWAS, SALAM KHAN, LUMINITA MORARU, SEITHUTI P. MOSHOKOA, ALI SALEH ALSHOMRANI, Combo solitons of fifth-order nonlinear Schrodinger’s hierarchy with complex-amplitude hypothesis, Journal of Optoelectronics and Advanced Materials Vol. 21, Iss. 11-12, pp. 679-684 (2019)