Results 151 to 160 of about 2,101 (185)
International Journal of Advances in Applied Mathematics and Mechanics, 2014 M. F. EL-Sayed +4 more
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Dynamical behavior of analytical solutions and bifurcation analysis for a novel structured (2+1)-dimensional Kadomtsev-Petviashvili equation via analytic approach. [PDF]
Sci RepGhayad MS +4 more
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Analytical investigation of soliton propagation in conformable fractional-order transmission line metamaterials. [PDF]
Sci RepAlmetwally EM +5 more
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Optical solutions to the time fractional Akbota equation arising in nonlinear optics via two distinct methods. [PDF]
Sci RepMahmood SS +3 more
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International Journal of Nonlinear Sciences and Numerical Simulation, 2019
Abstract In this work, the Kudryashov method is handled to find exact solutions of nonlinear fractional partial differential equations in the sense of the modified Riemann–Liouville derivative as given by Guy Jumarie. Firstly, these fractional equations can be turned into another nonlinear ordinary differential equations by fractional ...
Bekir, Ahmet +2 more
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Abstract In this work, the Kudryashov method is handled to find exact solutions of nonlinear fractional partial differential equations in the sense of the modified Riemann–Liouville derivative as given by Guy Jumarie. Firstly, these fractional equations can be turned into another nonlinear ordinary differential equations by fractional ...
Bekir, Ahmet +2 more
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Application of the modified Kudryashov method to the generalized Schrödinger–Boussinesq equations
Optical and Quantum Electronics, 2018In the paper, the modified Kudryashov method is applied to find new exact solutions for the generalized Schrodinger–Boussinesq equation with the help of symbolic computation package Maple through the complex transform. The obtained solutions have been checked by substituting back into its corresponding equation with the aid of Maple package program.
Dipankar Kumar, Melike Kaplan
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Waves in Random and Complex Media, 2017
AbstractIn this paper, the nonlinear Boussinesq equations with the conformable time-fractional derivative are solved analytically using the well-established modified Kudryashov method. As a consequence, a number of new exact solutions for this type of equations are formally derived. It is believed that the method is one of the most effective techniques
K. Hosseini, R. Ansari
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AbstractIn this paper, the nonlinear Boussinesq equations with the conformable time-fractional derivative are solved analytically using the well-established modified Kudryashov method. As a consequence, a number of new exact solutions for this type of equations are formally derived. It is believed that the method is one of the most effective techniques
K. Hosseini, R. Ansari
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Optik, 2021
Abstract In this work, optical solitons of nonlinear Biswas–Milovic equation with Kudryashov’s law are obtained by using the improved modified extended tanh-function method. This method reveals several optical solitons including traveling wave solutions.
Wafaa B. Rabie, Hamdy M. Ahmed
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Abstract In this work, optical solitons of nonlinear Biswas–Milovic equation with Kudryashov’s law are obtained by using the improved modified extended tanh-function method. This method reveals several optical solitons including traveling wave solutions.
Wafaa B. Rabie, Hamdy M. Ahmed
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Chinese Journal of Physics, 2018
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Kumar, Dipankar +2 more
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kumar, Dipankar +2 more
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Optik, 2017
Abstract Our concern in the present paper is to generate a few new explicit and exact solutions for the time-fractional Cahn–Allen and Cahn–Hilliard equations in the context of the conformable fractional derivative. A new version of Kudryashov method with the help of the Maple package is utilized to carry out this purpose.
K. Hosseini, A. Bekir, R. Ansari
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Abstract Our concern in the present paper is to generate a few new explicit and exact solutions for the time-fractional Cahn–Allen and Cahn–Hilliard equations in the context of the conformable fractional derivative. A new version of Kudryashov method with the help of the Maple package is utilized to carry out this purpose.
K. Hosseini, A. Bekir, R. Ansari
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