Results 161 to 170 of about 496 (193)
Exact analytical soliton solutions of the M-fractional Akbota equation. [PDF]
Sci RepAwadalla M +5 more
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International Journal of Advances in Applied Mathematics and Mechanics, 2014 M. F. EL-Sayed +4 more
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Application of the modified Kudryashov method to the generalized Schrödinger–Boussinesq equations
Optical and Quantum Electronics, 2018 In 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 +2 more
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The modified Kudryashov method for solving some evolution equations
AIP Conference Proceedings, 2012 The traveling wave solutions of nonlinear evolution equations have important role in many fields of applied sciences. In this study, we dwell upon the (2+1) dimensional Nizhnik-Nokikov-Veselov system and the modified Kudryashov method is used to construct traveling wave solutions.
Ege, Serife Muge, Misirli, Emine
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On the investigation of chiral solitons via modified new Kudryashov method
International Journal of Geometric Methods in Modern Physics, 2023 Purpose: This study includes the examination of the cases where the [Formula: see text]-dimensional chiral nonlinear Schrödinger equation also has Bohm potential. This review is not to obtain different soliton solutions for both cases but to obtain a certain type of soliton and to observe the effect of the problem parameters.
Muslum Ozisik +2 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 ...
Ahmet Bekir, Adem C Cevikel
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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 ...
Ahmet Bekir, Adem C Cevikel
exaly +3 more sources
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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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, Ahmet 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, Ahmet Bekir, R Ansari
exaly +2 more sources