The Experts below are selected from a list of 29130 Experts worldwide ranked by ideXlab platform
Hasan Bulut - One of the best experts on this subject based on the ideXlab platform.
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instability modulation for the 2 1 dimension paraxial wave equation and its new optical soliton solutions in kerr media
Physica Scripta, 2020Co-Authors: Wei Gao, Hasan Bulut, Hajar F Ismael, Haci Mehmet BaskonusAbstract:In this paper, we used the modied auxiliary expansion method to nd some new family solution of the paraxial nonlinear Schrodinger equation. The solutions have a Hyperbolic Function, trigonometric Function, exponential Function, and rational Function forms. The linear stability analysis of paraxial NLSE is also studied. Two cases when the instability modulation becomes to occur are investigated. All solutions are new and veried the main equation of the paraxial wave equation. Moreover, the constraint conditions for the existence of soliton solutions are also showed.
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new complex Hyperbolic structures to the lonngren wave equation by using sine gordon expansion method
Applied Mathematics and Nonlinear Sciences, 2019Co-Authors: Haci Mehmet Baskonus, Hasan Bulut, Tukur Abdulkadir SulaimanAbstract:In this paper, a powerful sine-Gordon expansion method (SGEM) with aid of a computational program is used in constructing a new Hyperbolic Function solutions to one of the popular nonlinear evolution equations that arises in the field of mathematical physics, namely; longren-wave equation. We also give the 3D and 2D graphics of all the obtained solutions which are explaining new properties of model considered in this paper. Finally, we submit a comprehensive conclusion at the end of this paper.
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singular solitons in the pseudo parabolic model arising in nonlinear surface waves
Results in physics, 2019Co-Authors: Onur Alp Ilhan, Hasan Bulut, Alaattin Esen, Haci Mehmet BaskonusAbstract:Abstract 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.
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Novel complex and Hyperbolic forms to the strain wave equation in microstructured solids
Optical and Quantum Electronics, 2017Co-Authors: Haci Mehmet Baskonus, Tukur Abdulkadir Sulaiman, Hasan BulutAbstract: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.
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new wave behaviors of the system of equations for the ion sound and langmuir waves
Waves in Random and Complex Media, 2016Co-Authors: Haci Mehmet Baskonus, Hasan BulutAbstract:ABSTRACTThis manuscript focuses on the new wave behaviors of the system of equations for the ion sound wave under the action of the ponderomotive force which results from a nonlinear force that a charged particle experiences in an inhomogeneous oscillating electromagnetic field due to high-frequency field. The sine-Gordon expansion method which is one of the powerful methods has been considered for finding traveling wave solutions of the system of equations for the ion sound wave under the pressure of the Langmuir wave. This algorithm yields new complex Hyperbolic Function solutions to the system considered in this paper. Wolfram Mathematica 9 has been successfully used throughout the paper for mathematical calculations.
Haci Mehmet Baskonus - One of the best experts on this subject based on the ideXlab platform.
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instability modulation for the 2 1 dimension paraxial wave equation and its new optical soliton solutions in kerr media
Physica Scripta, 2020Co-Authors: Wei Gao, Hasan Bulut, Hajar F Ismael, Haci Mehmet BaskonusAbstract:In this paper, we used the modied auxiliary expansion method to nd some new family solution of the paraxial nonlinear Schrodinger equation. The solutions have a Hyperbolic Function, trigonometric Function, exponential Function, and rational Function forms. The linear stability analysis of paraxial NLSE is also studied. Two cases when the instability modulation becomes to occur are investigated. All solutions are new and veried the main equation of the paraxial wave equation. Moreover, the constraint conditions for the existence of soliton solutions are also showed.
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new complex Hyperbolic structures to the lonngren wave equation by using sine gordon expansion method
Applied Mathematics and Nonlinear Sciences, 2019Co-Authors: Haci Mehmet Baskonus, Hasan Bulut, Tukur Abdulkadir SulaimanAbstract:In this paper, a powerful sine-Gordon expansion method (SGEM) with aid of a computational program is used in constructing a new Hyperbolic Function solutions to one of the popular nonlinear evolution equations that arises in the field of mathematical physics, namely; longren-wave equation. We also give the 3D and 2D graphics of all the obtained solutions which are explaining new properties of model considered in this paper. Finally, we submit a comprehensive conclusion at the end of this paper.
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singular solitons in the pseudo parabolic model arising in nonlinear surface waves
Results in physics, 2019Co-Authors: Onur Alp Ilhan, Hasan Bulut, Alaattin Esen, Haci Mehmet BaskonusAbstract:Abstract 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.
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Novel complex and Hyperbolic forms to the strain wave equation in microstructured solids
Optical and Quantum Electronics, 2017Co-Authors: Haci Mehmet Baskonus, Tukur Abdulkadir Sulaiman, Hasan BulutAbstract: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.
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new complex and Hyperbolic Function solutions to the generalized double combined sinh cosh gordon equation
AIP Conference Proceedings, 2017Co-Authors: Haci Mehmet BaskonusAbstract:In this study, we have applied the improved Bernoulli sub-equation Function method to the generalized double combined Sinh-Cosh-Gordon equation. This method gives new analytical solutions such as complex and Hyperbolic Function solutions to the problem considered in this paper. Then, we plot the three and two dimensional surfaces of analytical solutions by using Wolfram Mathematica 9.
Chunhuan Xiang - One of the best experts on this subject based on the ideXlab platform.
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Jacobi elliptic Function solutions to variable nonlinear Klein-Gordon equation
Proceedings of the 2015 International Industrial Informatics and Computer Engineering Conference, 2015Co-Authors: Chunhuan Xiang, Bo Liang, Longcong Chen, Honglei WangAbstract:By means of the extended mapping method, the traveling wave solution for the variable nonlinear Klein-Gordon equation is investigated, which is obtained in terms of the Jacobi elliptic Functions. The Hyperbolic Function solutions and trigonal solutions are also obtained. The numerical simulations are attached. At the same time, the physical meanings of the obtained solutions are discussed, and the problem needed to further study is pointed out.
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jacobi elliptic Function solutions for the modified korteweg de vries equation
Journal of King Saud University - Science, 2013Co-Authors: Honglei Wang, Chunhuan XiangAbstract:Abstract Formula solutions to the modified Korteweg–de Vries (mKdV) equation with constant coefficients are obtained via the Jacobi elliptic periodic Function transform method and symbolic computation. Those periodic solutions degenerate as the corresponding Hyperbolic Function solutions when the modulus is m → 1 and trigonal solutions with m → 0.
Yitian Gao - One of the best experts on this subject based on the ideXlab platform.
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painleve analysis lie group analysis and soliton cnoidal resonant Hyperbolic Function and rational solutions for the modified korteweg de vries calogero bogoyavlenskii schiff equation in fluid mechanics plasma physics
Chaos Solitons & Fractals, 2021Co-Authors: Feiyan Liu, Yitian Gao, Cuicui Ding, Gaofu Deng, Tingting JiaAbstract:Abstract Under investigation in this paper is a modified Korteweg-de Vries-Calogero-Bogoyavlenskii-Schiff equation in fluid mechanics/plasma physics. Painleve integrability is investigated. Soliton-cnoidal and resonant solutions are derived via the consistent tanh expansion method. The equation is reduced to certain symmetry reduction equations via the Lie point symmetry generators obtained though the Lie group method. Hyperbolic Function and rational solutions are derived through those symmetry reduction equations.
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generalized Hyperbolic Function method with computerized symbolic computation to construct the solitonic solutions to nonlinear equations of mathematical physics
Computer Physics Communications, 2001Co-Authors: Yitian GaoAbstract:Based on computerized symbolic computation, a generalized Hyperbolic-Function method and its algorithm are proposed for the nonlinear equations of mathematical physics. More powerful than the typical tanh methods, our algorithm could be widely applicable, including (a) the non-traveling solitonic features, (b) the multi-Hyperbolic Functions, and (c) the coefficient Functions. Sample equations with physical interests are demonstrated. New solitonic solutions are presented.
Honglei Wang - One of the best experts on this subject based on the ideXlab platform.
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Jacobi elliptic Function solutions to variable nonlinear Klein-Gordon equation
Proceedings of the 2015 International Industrial Informatics and Computer Engineering Conference, 2015Co-Authors: Chunhuan Xiang, Bo Liang, Longcong Chen, Honglei WangAbstract:By means of the extended mapping method, the traveling wave solution for the variable nonlinear Klein-Gordon equation is investigated, which is obtained in terms of the Jacobi elliptic Functions. The Hyperbolic Function solutions and trigonal solutions are also obtained. The numerical simulations are attached. At the same time, the physical meanings of the obtained solutions are discussed, and the problem needed to further study is pointed out.
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jacobi elliptic Function solutions for the modified korteweg de vries equation
Journal of King Saud University - Science, 2013Co-Authors: Honglei Wang, Chunhuan XiangAbstract:Abstract Formula solutions to the modified Korteweg–de Vries (mKdV) equation with constant coefficients are obtained via the Jacobi elliptic periodic Function transform method and symbolic computation. Those periodic solutions degenerate as the corresponding Hyperbolic Function solutions when the modulus is m → 1 and trigonal solutions with m → 0.