Exact soliton of (2 + 1)-dimensional fractional Schrödinger equation. (July 2017)

• Record Type: Journal Article
• Authors: Rizvi, S.T.R.; Ali, K.; Bashir, S.; Younis, M.; Ashraf, R.; Ahmad, M.O.
• Is Part Of: Superlattices and microstructures. Volume 107(2017)
• Page Start: 234
• Page End: 239
• Publication Date: 2017-07
• Subjects: F-expansion method -- Extended trial equation method -- Fractional Schrödingers equation; Superlattices as materials -- Periodicals; Microstructure -- Periodicals; Semiconductors -- Periodicals; Superréseaux -- Périodiques; Microstructure (Physique) -- Périodiques; Semiconducteurs -- Périodiques; 621.38152
• DOI: 10.1016/j.spmi.2017.04.029
• Languages: English
• ISSNs: 0749-6036

Abstract

Abstract: The nonlinear fractional Schrödinger equation is the basic equation of fractional quantum mechanics introduced by Nick Laskin in 2002. We apply three tools to solve this mathematical-physical model. First, we find the solitary wave solutions including the trigonometric traveling wave solutions, bell and kink shape solitons using the F -expansion and Improve F -expansion method. We also obtain the soliton solution, singular soliton solutions, rational function solution and elliptic integral function solutions, with the help of the extended trial equation method.