Author: "Baskonus, Haci Mehmet" / Topic: wave equation - Searchworks@Jio Institute Digital Library Search Results

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Start Over Author "Baskonus, Haci Mehmet" Topic wave equation

Author: Baskonus, Haci Mehmet, Koç, Dilara Altan, Gülsu, Mustafa, and Bulut, Hasan
Subjects: *BERNOULLI equation, *DIFFERENTIAL equations, *WAVE equation, *PARTIAL differential equations, *THEORY of wave motion
Abstract: In this study, we apply an effective method which is improved Bernoulli sub-equation function method (IBSEFM) to the (3+1)-dimensional modified KdV-Zakharov-Kuznetsov equation. It gives some new wave simulations such as complex and exponential structures. We check up whether all structures verify the (3+1)-dimensional modified KdV-Zakharov-Kuznetsov model. Then, we plot three and two dimensional surfaces of obtained solutions by using Wolfram Mathematica 9. [ABSTRACT FROM AUTHOR]
Published: 2017
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Author: Baskonus, Haci Mehmet, Yel, Gülnur, and Bulut, Hasan
Subjects: *BERNOULLI equation, *SPACE-time configurations, *HYPERBOLIC functions, *DIFFERENTIAL equations, *WAVE equation
Abstract: In this work, we apply the improved Bernoulli sub-equation function method to the space-time fractional Zakharov-Kuznetsov-Benjamin-Bona-Mahony equation. We obtain new travelling wave solutions to this model for values of M, n and m. We have obtained hyperbolic function solutions that describe some physical phenomena. Two- and three-dimensional surfaces of travelling wave solutions are plotted by using Wolfram Mathematica 9. At the end of this study, a conclusion is given by mentioning important findings. [ABSTRACT FROM AUTHOR]
Published: 2017
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Author: Baskonus, Haci Mehmet, Sulaiman, Tukur Abdulkadir, and Bulut, Hasan
Subjects: *WAVE equation, *MICROSTRUCTURE, *SINE-Gordon equation, *MATHEMATICAL physics, *SOLITONS
Abstract: This study applies the powerful sine-Gordon expansion method in acquiring some new solutions to the strain wave equation in micro-structured solids arising in mathematical physics. The strain wave equation in micro-structured solids is used in modelling wave propagation in micro-structured materials. We successfully acquire some new solitary wave solutions with hyperbolic function structure. By taking some suitable values of parameters involved in the solutions, we plot the 2D, 3D and contour graphs of all the obtained solutions in this study. [ABSTRACT FROM AUTHOR]
Published: 2018
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Author: Bulut, Hasan, Pandir, Yusuf, and Baskonus, Haci Mehmet
Subjects: *WAVE equation, *MATHEMATICAL transformations, *KORTEWEG-de Vries equation, *ELLIPTIC functions, *NONLINEAR equations, *DISCRIMINANT analysis
Abstract: In this paper, by means of a proper transformation and symbolic computation, we study high order wave equations of KdV type (I). We obtained classification of exact solutions that contain soliton, rational, trigonometric and elliptic function solutions by using the extended trial equation method. As a result, the motivation of this paper is to utilize the extended trial equation method to explore new solutions of high order wave equation of KdV type (I). This method is confirmed by applying it to this kind of selected nonlinear equations. [ABSTRACT FROM AUTHOR]
Published: 2014
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Author: İlhan, Onur Alp, Bulut, Hasan, Sulaiman, Tukur A., and Baskonus, Haci Mehmet
Subjects: *LONGITUDINAL waves, *WAVE equation, *SINE-Gordon equation, *TRIGONOMETRIC functions, *HYPERBOLIC functions, *MATHEMATICAL physics, *ANALYTICAL solutions
Abstract: The analytical solution of the longitudinal wave equation in the MEE circular rod is analyzed by the powerful sine-Gordon expansion method. Sine - Gordon expansion is based on the well-known wave transformation and sine - Gordon equation. In the longitudinal wave equation in mathematical physics, the transverse Poisson MEE circular rod is caused by the dispersion. Some solutions with complex, hyperbolic and trigonometric functions have been successfully implemented. Numerical simulations of all solutions are given by selecting the appropriate parameter values. The physical meaning of the analytical solution explaining some practical physical problems is given. [ABSTRACT FROM AUTHOR]
Published: 2020
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Author: Bulut, Hasan, Sulaiman, Tukur Abdulkadir, and Baskonus, Haci Mehmet
Subjects: *LONGITUDINAL waves, *WAVE equation, *SOLITONS, *NONLINEAR evolution equations, *MAGNETOELECTRONICS
Abstract: This study investigates the longitudinal wave equation in a magneto-electro-elastic circular rod by using the extended sinh-Gordon equation expansion method. Topological, non-topological and singular soliton solutions are extracted. To illustrate the physical appearance of the obtained solutions, 2D, 3D and the contour graphs to some of the obtained solutions are plotted. The reported results may be useful in explaining the physical meaning of the studied models and other nonlinear physical models arising in nonlinear sciences. [ABSTRACT FROM AUTHOR]
Published: 2018
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