Results 161 to 170 of about 1,413 (195)

Exact solutions of nonlinear Schrödinger’s equation by using generalized Kudryashov method

AIP Conference Proceedings, 2015
In this paper, a new version of generalized Kudryashov method is used to examine the exact solutions of cubic nonlinear Schrodinger’s equation (NLS). By using the traveling wave transformation, the NLS equations can be turned into the nonlinear ordinary differential equation.
Yusuf Pandir, Abdullah Sonmezoglu, Hasan Huseyin Duzgun, Nail Turhan   +3 more
openaire   +1 more source

Optical soliton perturbation with fractional temporal evolution by generalized Kudryashov's method

Optik, 2018
Abstract This paper retrieves optical soliton solutions with fractional temporal evolution by the aid of generalized Kudryashov's method. There are four types of nonlinear fibers that are studied here. Bright, dark and singular soliton solutions are retrieved. The existence criteria of these solitons are also presented.
Anjan Biswas, Abdullah Sonmezoglu, Mehmet Ekici, Mohammad Mirzazadeh, Qin Zhou, Seithuti P. Moshokoa, Milivoj Belic   +6 more
openaire   +1 more source

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, Melike Kaplan
openaire   +1 more source

A generalized Kudryashov method to some nonlinear evolution equations in mathematical physics

Nonlinear Dynamics, 2016
Nonlinear evolution equations form the most fundamental theme in mathematical physics. The search for exact solutions of nonlinear equations has been of interest in recent years. In this paper, we obtain exact solutions of the nonlinear Jaulent–Miodek hierarchy and (2+1)-dimensional Calogero–Bogoyavlenskii–Schiff equation by using the generalized ...
Akbulut, ARZU, Bekir, Ahmet, Kaplan, Melike   +2 more
openaire   +2 more sources

Exact Solutions of Conformable Differential Equations Using Generalized Kudryashov Method

2021
Lineer olmayan conformable diferensiyel denklemler matematiksel fizikte önemli bir yere sahiptir. Bu denklemlerin tam çözümlerinin elde edilmesi, son yıllarda oldukça ilgi çeken bir çalışma alanı olarak karşımıza çıkmaktadır. Bu makalede, conformable üçüncü mertebeden modifiye KdV denklemi ve conformable Boussinesq denkleminin tam çözümleri ...
AKBULUT, Arzu, KAPLAN, Melike
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The generalized Kudryashov method for nonlinear space–time fractional partial differential equations of Burgers type

Nonlinear Dynamics, 2018
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Gaber, A. A., Aljohani, A. F., Ebaid, A., Machado, J. Tenreiro   +3 more
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OPTICAL SOLUTIONS WITH KUDRYASHOV’S ARBITRARY TYPE OF GENERALIZED NON-LOCAL NONLINEARITY AND REFRACTIVE INDEX VIA KUDRYASHOV AUXILIARY EQUATION METHOD

Fractals
In this paper, our focus lies in exploring the Kudryashov auxiliary equation method as a means to derive several exact solutions to a conformable nonlinear Schrödinger equation. This particular model combines Kudryashov’s arbitrary refractive index alongside two various non-local nonlinearity.
MUHAMMAD AMIN SADIQ MURAD, WAQAS ALI FARIDI, ADIL JHANGEER, MUJAHID IQBAL, MUBARIZ GARAYEV   +4 more
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Nonlinear complex generalized zakharov dynamical system inconformal sense utilizing new kudryashov method

Physica Scripta
Abstract We take into account the nonlinear complex generalized Zakharov dynamical system which models the spread of the Langmuir waves in ionized plasma, in the conformal sense in this manuscript. Fractional wave transformation is enforced to convert the nonlinear fractional system to a nonlinear ordinary differential equation system ...
Aydin Secer, Mustafa Bayram, Neslihan Ozdemir, Ismail Onder, Handenur Esen, Melih Cinar, Huseyin Aydin   +6 more
openaire   +2 more sources

Applications of generalized Kudryashov method to non linear evolution equations

AIP Conference Proceedings, 2022
Monika Jangra, Sajid Murtaza, Rajeev P. Bhanot   +2 more
openaire   +1 more source

The investigation of exact solutions of nonlinear time-fractional Klein-Gordon equation by using generalized Kudryashov method

AIP Conference Proceedings, 2014
In this study, we consider exact solutions of nonlinear time-fractional Klein-Gordon equation by using generalized Kudryashov method (GKM). The nonlinear time-fractional Klein-Gordon equation can be converted into nonlinear ordinary differantial equation by transformation. Consequently, GKM has been implemented to find exact solutions of nonlinear time-
Seyma Tuluce Demiray, Yusuf Pandir, Hasan Bulut   +2 more
openaire   +1 more source