Optical Solitons and Other Solutions to the (2+1)-Dimensional Cubic Nonlinear Schrödinger Equation with Fractional Temporal Evolution

Autor: Atas Sibel Sehriban, Sulaiman Tukur Abdulkadir, Bulut Hasan
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: ITM Web of Conferences, Vol 22, p 01053 (2018)
Druh dokumentu: article
ISSN: 2271-2097
20182201
DOI: 10.1051/itmconf/20182201053
Popis: In this study, the (2+1)-dimensional cubic nonlinear Schrödinger equation with fractional temporal evolution is investigated by using the extended sinh-Gordon equation expansion method. The idea of conformable fractional derivative is used in transforming the complex nonlinear partial differential equation to nonlinear ordinary differential equation. Dark, bright, mixed dark-bright, singular, mixed singular solitons and singular periodic wave solutions are successfully reached. The parametric conditions for the existence of valid solitons are given. The 2D and 3D graphics to some of the reported solutions are plotted.
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