Results 171 to 180 of about 3,915 (198)

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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Soliton wave solutions for the nonlinear transmission line using the Kudryashov method and the -expansion method

Applied Mathematics and Computation, 2014
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Hubert, Malwe Boudoue, Betchewe, Gambo, Doka, Serge Y., Timoleon Crepin, Kofane   +3 more
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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

Exact solutions for Fitzhugh–Nagumo model of nerve excitation via Kudryashov method

Optical and Quantum Electronics, 2017
This paper presents a number of new solutions obtained for solving the Fitzhugh–Nagumo model via the Kudryashov method. The merit of the presented method is finding the further solutions of the considering problems including soliton, periodic, kink, kink-singular wave solutions.
Mohammadreza Foroutan, Jalil Manafian, Hamed Taghipour-Farshi   +2 more
openaire   +1 more source

Supplementary optical solitonic expressions for Gerdjikov–Ivanov equations with three Kudryashov-based methods

Communications in Theoretical Physics
Abstract The present manuscript uses three Kudryashov-based methods to analytically inspect the class of Gerdjikov–Ivanov equations, which comprises the standard Gerdjikov–Ivanov equation and the perturbed Gerdjikov–Ivanov equation. Various optical solitonic solutions have been constructed. Certainly, as the reported solitonic structures
Althrwi, F. A., Alshaery, A. A., Bakodah, H. O., Nuruddeen, Rahmatullah Ibrahim   +3 more
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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

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

Application of Generalized Kudryashov Method to the Burger Equation

International Journal of Mathematics Trends and Technology, 2016
Rafiqul Islam, Harun-Or Roshid
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Optical soliton solutions of the generalized non-autonomous nonlinear Schrödinger equations by the new Kudryashov’s method

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

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