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New solitary wave structures to the (3
(Elsevier, 2019) Bulut, Hasan; Aksan, Emine Nesligul; Kayhan, Mirac; Sulaiman, Tukur Abdulkadir
The studies of the dynamic behaviors of nonlinear models arising in ocean engineering play a significant role in our daily activities. In this paper, an efficient mathematical technique, namely; the sine-Gordon expansion method is employed to construct the traveling wave solutions to the (3 + 1)-dimensional Kadomtsev-Petviashvili and (3 + 1)-dimensional nonlinear Schrodinger equations. Using suitable values of the parameters, the two- and three-dimensional figures of the obtained solutions are plotted. (C) 2019 Shanghai Jiaotong University. Published by Elsevier B.V.
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.