Results 31 to 40 of about 295 (152)

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

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
core  

Dispersive optical solitons and conservation laws of Radhakrishnan-Kundu-Lakshmanan equation with dual-power law nonlinearity [PDF]

, 2023
The current paper implements three elegant approaches to recover a complete spectrum of optical solitons to the Radhakrishnan-Kundu-Lakshmanan equation with dual-power law of nonlinear refractive index.
Alghamdi, Abdulah A., Arnous, Ahmed H., Biswas, Anjan, Georgescu, Puiu Lucian, Kara, Abdul H., Moldovanu, Simona, Moraru, Luminita, Yıldırım, Yakup   +7 more
core   +1 more source

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

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
core   +1 more source

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

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
core   +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

Study of optical stochastic solitons of Biswas-Arshed equation with multiplicative noise [PDF]

, 2023
In many nonlinear partial differential equations, noise or random fluctuation is an inherent part of the system being modeled and have vast applications in different areas of engineering and sciences.
Aziz Ullah Awan, Hamood Ur Rehman, Ifrah Iqbal, Sayed M. Eldin   +3 more
core   +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