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Optical solitons to the space-time fractional (1+1)-dimensional coupled nonlinear Schrodinger equation
(Elsevier Gmbh, 2018) Esen, Alaattin; Sulaiman, Tukur Abdulkadir; Bulut, Hasan; Baskonus, Haci Mehmet
This study reveals the dark, bright, mixed dark-bright, singular and mixed singular optical solitons to the space-time fractional (1+1)-dimensional coupled nonlinear Schrodinger equation by using the extended sinh-Gordon equation expansion method. The constraint conditions for the existence of valid solitons are given. Under the choice of suitable values of the parameters and the fractional values of alpha and beta, the 2- and 3-dimensional graphs to some of the reported solutions are plotted. (C) 2018 Elsevier GmbH. All rights reserved.
Singular solitons in the pseudo-parabolic model arising in nonlinear surface waves
(Elsevier, 2019) Ilhan, Onur Alp; Esen, Alaattin; Bulut, Hasan; Baskonus, Haci Mehmet
This manuscript aims to construct a family of travelling wave solutions to the high nonlinearity differential equation for obtaining new hyperbolic function solutions by using an analytical method, which is based on the exponential function. A number of new hyperbolic solutions for the model have been newly derived by using the method. We take advantage of some computer programming for all numerical calculations, and surfaces of solutions obtained in this paper.