Results 141 to 150 of about 296 (163)

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 ...
Melike Kaplan, Ahmet Bekir, Arzu Akbulut   +2 more
exaly   +3 more sources

A novel generalized Kudryashov method for exact solutions of nonlinear evolution equations

AIP Conference Proceedings, 2017
Nonlinear evolution equation (NLEE) systems model the most essential topics in nonlinear sciences. Exact solutions of these equations play a major role in the suitable understanding of mechanisms of the various physical phenomena modelled by these NLEEs.
Koparan, Murat, Kaplan, Melike, Bekir, Ahmet, Güner, Özkan   +3 more
openaire   +1 more source

Exact solutions for nonlinear integro-partial differential equations using the generalized Kudryashov method

Journal of the Egyptian Mathematical Society, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Khaled A Gepreel, Taher A Nofal
exaly   +3 more sources

Optical solitons of M-fractional nonlinear Schrödinger’s complex hyperbolic model by generalized Kudryashov method

Optical and Quantum Electronics, 2023
In this paper, the new optical wave solutions to the truncated M-fractional (2 + 1)-dimensional non-linear Schrodinger's complex hyperbolic model by utilizing the generalized Kudryashov method are obtained. The obtained solutions are in the form of trigonometric, hyperbolic and mixed form.
Hamali, Waleed, Manafian, Jalil, Lakestani, Mehrdad, Mahnashi, Ali M., Bekir, Ahmet   +4 more
openaire   +2 more sources

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

The generalized Kudryashov method for nonlinear space–time fractional partial differential equations of Burgers type

Nonlinear Dynamics, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A A Gaber, A F Aljohani, Abdelhalim Ebaid   +2 more
exaly   +2 more sources

General improved Kudryashov method for exact solutions of nonlinear evolution equations in mathematical physics

Physica Scripta, 2020
Abstract This paper is devoted to improving the general Kudryashov method by a new and general auxiliary equation. So, a new method is introduced, which we call ‘the general improved Kudryashov method’, to produce exact solutions for nonlinear evolution equations arising in mathematical physics.
Abd-Allah Hyder, M A Barakat
openaire   +1 more source

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
openaire   +1 more source

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
openaire   +1 more source