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- MakaleAçık Erişim2019Scopus SJRQ3On the new wave behavior to the Klein–Gordon–Zakharov equations in plasma physics
Baskonus, H.M.; Sulaiman, T.A.; Bulut, H.
In this study, the extended sinh-Gordon equation expansion method is used in constructing various exact solitary wave solutions to the Klein–Gordon–Zakharov equations. The Klein–Gordon–Zakharov equations is a nonlinear model describing the interaction between the Langmuir wave and the ion acoustic wave in a high-frequency plasma. We successfully construct some topological, non-topological, compound topological and non-topological, singular, compound singular solitons and singular periodic wave solutions. Under the choice of suitable values of the parameters, the 2D, 3D and contour graphs to some of the reported solutions are also plotted.
AtıfScopus61WoS58OpenAlex67İncele
- MakaleAçık Erişim2019Scopus SJRQ3Regarding some novel exponential travelling wave solutions to the Wu–Zhang system arising in nonlinear water wave model
Yel, G.; Baskonus, H.M.; Bulut, H.
In this paper, our main aim is to find the new travelling wave solutions to the Wu–Zhang system which describes dispersive long waves. Some new and important travelling wave solutions with rational and exponential function structures are successfully constructed by using the improved Bernoulli subequation function method. All the obtained solutions in this study satisfy the Wu–Zhang system. The interesting three- and two-dimensional surfaces to all the obtained solutions are plotted. We carried out all the computations and the graphics plots in this paper with aid of the Wolfram Mathematica 9.
AtıfScopus13OpenAlex18İncele
- 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.
AtıfScopus51OpenAlex53İncele
- MakaleAçık Erişim2018Scopus SJRQ3Optical solitons and other solutions to the conformable space–time fractional complex Ginzburg–Landau equation under Kerr law nonlinearity
Sulaiman, Tukur Abdulkadir; Baskonus, Haci Mehmet; Bulut, Hasan
This study reveals the dark, bright, combined dark–bright, singular, combined singular optical solitons and singular periodic solutions to the conformable space–time fractional complex Ginzburg–Landau equation. We reach such solutions via the powerful extended sinh-Gordon equation expansion method (ShGEEM). Constraint conditions that guarantee the existence of valid solitary wave solutions are given. Under suitable choice of the parameter values, interesting three-dimensional graphs of some of the obtained solutions are plotted.
AtıfScopus37İncele
