Dispersive optical soliton solutions for higher order nonlinear Sasa-Satsuma equation in mono mode fibers via new auxiliary equation method. (January 2018)

• Record Type: Journal Article
• Authors: Khater, Mostafa M.A.; Seadawy, Aly R.; Lu, Dianchen
• Is Part Of: Superlattices and microstructures. Volume 113(2018)
• Page Start: 346
• Page End: 358
• Publication Date: 2018-01
• Subjects: Nonlinear Sasa-Satsuma equation -- New auxiliary equation method -- Optical solitary traveling wave solutions -- Kink and anti-kink; Superlattices as materials -- Periodicals; Microstructure -- Periodicals; Semiconductors -- Periodicals; Superréseaux -- Périodiques; Microstructure (Physique) -- Périodiques; Semiconducteurs -- Périodiques; 621.38152
• DOI: 10.1016/j.spmi.2017.11.011
• Languages: English
• ISSNs: 0749-6036

Abstract

Abstract: In this research, we apply new technique for higher order nonlinear Schrödinger equation which is representing the propagation of short light pulses in the monomode optical fibers and the evolution of slowly varying packets of quasi-monochromatic waves in weakly nonlinear media that have dispersion. Nonlinear Schrödinger equation is one of the basic model in fiber optics. We apply new auxiliary equation method for nonlinear Sasa-Satsuma equation to obtain a new optical forms of solitary traveling wave solutions. Exact and solitary traveling wave solutions are obtained in different kinds like trigonometric, hyperbolic, exponential, rational functions, …, etc. These forms of solutions that we represent in this research prove the superiority of our new technique on almost thirteen powerful methods. The main merits of this method over the other methods are that it gives more general solutions with some free parameters.