Results 171 to 180 of about 10,990,470 (194)

Traveling wave solutions to nonlinear directional couplers by modified Kudryashov method

Physica Scripta, 2020
Abstract This work finds several new traveling wave solutions for nonlinear directional couplers with optical metamaterials by means of the modified Kudryashov method. This model can be used to distribute light from a main fiber into one or more branch fibers. Two forms of optical couplers are considered, namely the twin- and multiple-
H M Srivastava, D Baleanu, J A T Machado, M S Osman, H Rezazadeh, S Arshed, H Günerhan   +6 more
openaire   +1 more source

Application of Kudryashov method for high-order nonlinear Schrödinger equation

Indian Journal of Physics, 2013
Higher-order nonlinear Schrodinger equation for describing the propagation of femtosecond pulses in optical fibers is studied. Kudryashov method is used for obtaining exact soliton solutions of this equation.
N Taghizadeh, M Mirzazadeh, A Mahmoodirad   +2 more
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

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

A improved F-expansion method and its application to Kudryashov-Sinelshchikov equation

Mathematical Methods in the Applied Sciences, 2013
Summary: On the basis of the F-expansion method with a new sub-equation and Exp-function method, an improved F-expansion method is introduced. As illustrative examples, the exact solutions expressed by exponential function, hyperbolic function of Kudryashov-Sinelshchikov equation for abitrary \(\alpha\), \(\beta\) are derived. Some previous results are
He, Yinghui, Li, Shaolin, Long, Yao
openaire   +1 more source

Solutions of the nonlinear differential equations by use of modified Kudryashov method

2016
Studies based on the non-linear physical problems have become very important in recent years. These problems are solved by using different mathematical approaches. In particular, the soliton solutions, compacton solutions, peakon solutions and other solutions have been found for such physical problems. Using a powerful method that is proposed to obtain
Tandoğan, Yusuf Ali, Pandır, Yusuf, Gurefe, Yusuf   +2 more
openaire   +1 more source

Application of Generalized Kudryashov Method to the Burger Equation

International Journal of Mathematics Trends and Technology, 2016
Rafiqul Islam, Harun-Or Roshid
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

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