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Dynamics of computational waveform: A study of bifurcation, chaos, and sensitivity analysis. [PDF]
Shahen NHM +3 more
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Exploration of the soliton solutions of the (n+1) dimensional generalized Kadomstev Petviashvili equation using an innovative approach. [PDF]
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On the investigation of chiral solitons via modified new Kudryashov method
International Journal of Geometric Methods in Modern Physics, 2023Purpose: 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 Modern Physics B, 2020
In this paper, a new exact solution of the conformable Gilson–Pickering equation is investigated. It should be noted that some of the individual cases of the Gilson–Pickering equation are the conformable Camassa–Holm, the conformable Fornberg–Whitham, and the conformable Rosenau–Hyman equations.
Hadi Rezazadeh +3 more
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In this paper, a new exact solution of the conformable Gilson–Pickering equation is investigated. It should be noted that some of the individual cases of the Gilson–Pickering equation are the conformable Camassa–Holm, the conformable Fornberg–Whitham, and the conformable Rosenau–Hyman equations.
Hadi Rezazadeh +3 more
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The modified Kudryashov method for solving some evolution equations
AIP Conference Proceedings, 2012The 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.
Misirli, Emine, Ege, Serife Muge
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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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International Journal of Physical Research, 2022
The exact solutions of nonlinear evolution equations (NLEEs) play a vital role to reveal the central mechanism of complex physical phe-nomenon. More precisely, in this paper, we acquired new exact solutions to the (2+1)-dimensional cubic Klein–Gordon (cKG) and (3+1)-dimensional Zakharov–Kuznetsov (ZK) equations by using the modified Kudraysov ...
K. M. Abdul Al Woadud +2 more
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The exact solutions of nonlinear evolution equations (NLEEs) play a vital role to reveal the central mechanism of complex physical phe-nomenon. More precisely, in this paper, we acquired new exact solutions to the (2+1)-dimensional cubic Klein–Gordon (cKG) and (3+1)-dimensional Zakharov–Kuznetsov (ZK) equations by using the modified Kudraysov ...
K. M. Abdul Al Woadud +2 more
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Journal of Modern Optics, 2017
The main aim of this article is studying the coupled sine-Gordon equations in nonlinear optics, which describe the propagation of an optical pulse in fibre waveguide.
K. Hosseini, P. Mayeli, D. Kumar
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The main aim of this article is studying the coupled sine-Gordon equations in nonlinear optics, which describe the propagation of an optical pulse in fibre waveguide.
K. Hosseini, P. Mayeli, D. Kumar
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Optik, 2017
Abstract The nonlinear time-fractional Klein–Gordon equations play an important role in describing some physical events in solid state physics, nonlinear optics, and quantum field theory. In this paper, the time-fractional Klein–Gordon equations with quadratic and cubic nonlinearities in the sense of the conformable fractional derivative are solved ...
K. Hosseini, P. Mayeli, R. Ansari
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Abstract The nonlinear time-fractional Klein–Gordon equations play an important role in describing some physical events in solid state physics, nonlinear optics, and quantum field theory. In this paper, the time-fractional Klein–Gordon equations with quadratic and cubic nonlinearities in the sense of the conformable fractional derivative are solved ...
K. Hosseini, P. Mayeli, R. Ansari
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