Optical and other solitons for the fourth-order dispersive nonlinear Schrödinger equation with dual-power law nonlinearity. (May 2017)

• Record Type: Journal Article
• Authors: Al Qurashi, Maysaa Mohamed; Yusuf, Abdullahi; Aliyu, Aliyu Isa; Inc, Mustafa
• Is Part Of: Superlattices and microstructures. Volume 105(2017)
• Page Start: 183
• Page End: 197
• Publication Date: 2017-05
• Subjects: NLSE -- Dual power law -- Ricatti-Bernouli sub-ODE method and modified Tanh-Coth method; Superlattices as materials -- Periodicals; Microstructure -- Periodicals; Semiconductors -- Periodicals; Superréseaux -- Périodiques; Microstructure (Physique) -- Périodiques; Semiconducteurs -- Périodiques; 621.38152
• DOI: 10.1016/j.spmi.2017.03.022
• Languages: English
• ISSNs: 0749-6036

Abstract

Abstract: In this work, the soliton solutions of the fourth-order nonlinear Schrödinger equation (NLSE) with dual-power law nonlinearity is analyzed using Ricatti-Bernoulli (RB) sub-ODE and modified Tanh-Coth methods. We obtain new solutions that are not in existence in previous time. The constraint conditions between the soliton parameters are determined. The solutions we obtained may be used to explain and understand the physical nature of the wave spreads in the most dispersive optical medium. Highlights: We obtain some new type solitons for the fourth-order dispersive NLSE with dual power nonlinearity. Optical, singular, algebraic and periodic wave solitons are reported. We write physical properties of obtained solutions.