Results 31 to 40 of about 259 (113)

Highly dispersive optical solitons in fiber bragg gratings with kerr law of nonlinear refractive index [PDF]

, 2022
: This paper obtains highly dispersive optical solitons in fiber Bragg gratings with the Kerr law of a nonlinear refractive index. The generalized Kudryashov’s approach as well as its newer version makes this retrieval possible.
Alngar, Mohamed E. M., Biswas, Anjan, Iticescu, Catalina, Khan, Salam, Moldovanu, Simona, Moraru, Luminita, Shohib, Reham M. A., Yıldırım, Yakup, Zayed, Elsayed M. E.   +8 more
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Analytical Soliton Solutions of the Coupled Radhakrishnan-Kundu-Lakshmanan Equation via Three Techniques

Journal of Mathematics, 2022
The analytical soliton solutions to the coupled Radhakrishnan-Kundu-Lakshmanan (RKL) model are greatly important for birefringent fibers without the effect of four-wave mixing (4WM).
Khalid K. Ali, M. S. Mehanna, M. Ali Akbar, Prasun Chakrabarti   +3 more
doaj   +1 more source

Optical soliton solutions of the Chen–Lee–Liu equation in the presence of perturbation and the effect of the inter-modal dispersion, self-steepening and nonlinear dispersion [PDF]

, 2022
In this paper, we have investigated the perturbed Chen–Lee–Liu equation which describes the pulse propagation in the optical fbers, under the impact of the inter-modal dispersion, self-steepening and nonlinear dispersion terms.
Bayram, Mustafa, Seçer, Aydın, Çınar, Melih, Özışık, Müslüm   +3 more
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Van der Waals Modeline modifiye edilmiş deneme denklem metodu [PDF]

, 2021
In this research, the modified trial equation method (MTEM) is considered in order to find some exact solutions of the van der Waals model. In addition, to finding the solution of the van der Waals model this method can be used in the solution of ...
Duman, Şerife, Tülüce Demiray, Şeyma
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New families of soliton solutions for the (2 + 1)-dimensional nonlinear evolution equation arising in nonlinear optics

Alexandria Engineering Journal, 2023
This article aims to achieve families of new traveling wave solutions to the (2 + 1)-dimensional nonlinear evolution equation using three powerful analytical techniques: the general form of Kudryashov’s method, the Bernoulli sub-ODE method, and the ...
Khalid K. Ali, Mohamed Omri, M.S. Mehanna, Hatem Besbes, Abdel-Haleem Abdel-Aty   +4 more
doaj   +1 more source

Highly dispersive optical soliton perturbation with Kerr law for complex Ginzburg–Landau equation [PDF]

, 2023
In this paper, highly dispersive optical solitons are obtained with the perturbed complex GinzburgâLandau equation, incorporating the Kerr law of nonlinearity, by the complete discriminant classification approach.
Abdulah A. Alghamdi, Anjan Biswas, Maggie Aphane, Ming-Yue Wang, Seithuti P. Moshokoa, Yakup Yıldırım   +5 more
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Soliton Solution of the Peyrard–Bishop–Dauxois Model of DNA Dynamics with M-Truncated and β-Fractional Derivatives Using Kudryashov’s R Function Method

Fractal and Fractional, 2022
In this paper, the Peyrard–Bishop–Dauxois model of DNA dynamics is discussed along with the fractional effects of the M-truncated derivative and β-derivative. The Kudryashov’s R method was applied to the model in order to obtain a solitary wave solution.
Xiaoming Wang, Ghazala Akram, Maasoomah Sadaf, Hajra Mariyam, Muhammad Abbas   +4 more
doaj   +1 more source

A study of (3+1)-dimensional generalized Korteweg-de Vries- Zakharov-Kuznetsov equation via Lie symmetry approach

Results in Physics, 2020
In this work, we analytically examine a (3+1)-dimensional generalized Korteweg-de Vries-Zakharov-Kuznetsov equation (gKdV-ZKe). Solutions of this equation, including a non-topological soliton, are obtained by Lie symmetry reductions and direct ...
Chaudry Masood Khalique, Oke Davies Adeyemo   +1 more
doaj   +1 more source

Exploration of New Optical Solitons in Magneto-Optical Waveguide with Coupled System of Nonlinear Biswas–Milovic Equation via Kudryashov’s Law Using Extended F-Expansion Method

Mathematics, 2023
Optical soliton solutions in a magneto-optical waveguide and other exact solutions are investigated for the coupled system of the nonlinear Biswas–Milovic equation with Kudryashov’s law using the extended F-expansion method.
Wafaa B. Rabie, Hamdy M. Ahmed, Walid Hamdy   +2 more
doaj   +1 more source

Analytical and numerical study for the generalized q-deformed sinh-Gordon equation

Nonlinear Engineering, 2023
In this article, we study the generalized qq-deformed sinh-Gordon equation analytically using the new general form of Kudryashov’s approach and numerically using the finite difference method.
Ali Khalid K.
doaj   +1 more source