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- MakaleAçık Erişim2018Scopus SJRQ3New structural dynamics of isolated waves via the coupled nonlinear Maccari’s system with complex structure
Ciancio, A.; Baskonus, H.M.; Sulaiman, T.A.; Bulut, H.
In this study, the modified exp (- ϕ(η)) -expansion function method is utilized in acquiring some new results to the coupled nonlinear Maccari’s system. The Maccari’s system is a nonlinear model that describes the dynamics of isolated waves, confined in a small part of space, in various fields such as hydrodynamic, plasma physics and nonlinear optics. We construct some new results with a complex structure to this model, such as; the trigonometric and hyperbolic function solutions. Under the suitable choice of the values of parameters, we plot the 2D, 3D and the contour graphs to some of the obtained solutions in this study. We observed that our results may be helpful in detecting the movement of an isolated wave in a small space to some practical physical problems.
AtıfScopus51OpenAlex53
İncele - MakaleAçık Erişim2018Scopus SJRQ2Optical solitons to the space-time fractional (1+1)-dimensional coupled nonlinear Schrödinger equation
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 Schrödinger 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 α and β, the 2- and 3-dimensional graphs to some of the reported solutions are plotted.
AtıfScopus164OpenAlex191İncele - MakaleAçık Erişim2018Scopus SJRQ2Complex acoustic gravity wave behaviors to some mathematical models arising in fluid dynamics and nonlinear dispersive media
Bulut, Hasan; Sulaiman, Tukur Abdulkadir; Baskonus, Haci Mehmet; Akturk, Tolga
This study acquires the wave solutions of the two well-known nonlinear models, namely; the modified Benjamin–Bona–Mahony and the coupled Klein–Gordon equations. The modified Benjamin–Bona–Mahony is a nonlinear model that describes the long surface gravity waves of small amplitude and the coupled Klein–Gordon equation describes the quantized version of the relativistic energy–momentum relation. We successfully acquire some new solutions to these models such as kink-type and soliton solutions in complex hyperbolic functions form. We plot the 3D and 2D surface of the all the obtained solutions in this study. The mathematical approach used in this study is the sine-Gordon expansion method.
AtıfScopus33OpenAlex40İncele