Results 101 to 110 of about 284 (125)

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

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
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

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

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

Optical soliton solutions for the generalized Kudryashov equation of propagation pulse in optical fiber with power nonlinearities by three integration algorithms

Mathematical Methods in the Applied Sciences, 2021
Elsayed M E Zayed, Mohamed E M Alngar
exaly  

Optical soliton solutions of the generalized non-autonomous nonlinear Schrödinger equations by the new Kudryashov’s method

Results in Physics, 2021
Hadi Rezazadeh, Najib Ullah, Lanre Akinyemi   +2 more
exaly  

Cubic–quartic optical soliton perturbation with complex Ginzburg–Landau equation by the enhanced Kudryashov’s method

Chaos, Solitons and Fractals, 2022
Ahmed H Arnous, Anjan Biswas, Yakup Yildirim   +2 more
exaly