Results 11 to 20 of about 11,580,339 (146)

Solitons and other solutions of perturbed nonlinear Biswas–Milovic equation with Kudryashov’s law of refractive index [PDF]

Nonlinear Analysis, 2022
We analytically study the exact solitary wave solutions of the perturbed nonlinear Biswas–Milovic equation with Kudryashov’s law of refractive index, which describes the propagation of pulses of various types in optical fiber.
Lanre Akinyemi, Mohammad Mirzazadeh, Kamyar Hosseini   +2 more
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Propagation of optical solitons for Kudryashov’s law with dual form of generalized non-local nonlinearity

Results in Physics, 2022
In this paper, we study the optical solitons for Kudryashov’s law with dual form of generalized non-local nonlinearity in optical fibers. Through the trial equation method and the complete discrimination system for polynomial, we get various optical wave
Jian Zhang
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Exact Optical Solitons for Generalized Kudryashov’s Equation by Lie Symmetry Method

Journal of Mathematics, 2023
In this article, we use Lie point symmetry analysis to extract some new optical soliton solutions for the generalized Kudryashov’s equation (GKE) with an arbitrary power nonlinearity.
Rajagopalan Ramaswamy, E. S. El-Shazly, M. S. Abdel Latif, Amr Elsonbaty, A. H. Abdel Kader   +4 more
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Dynamical simulation of wave solutions for the M-fractional Lonngren-wave equation using two distinct methods

Alexandria Engineering Journal, 2023
This study integrates the (1 + 1)-dimensional time M-fractional Lonngren-wave (tM-fLW) equation. This equation is useful to describe the phenomenon of the electric signals in telegraph lines at the source of the tunnel diode.
Md Mamunur Roshid, M.M. Rahman, Md. Habibul Bashar, Mohammad Mobarak Hossain, Md. Abde Mannaf, Harun-Or-Roshid   +5 more
doaj   +2 more sources

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
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Analysis of Kudryashov’s equation with conformable derivative via the modified Sardar sub-equation algorithm

Results in Physics
In the present work, we utilize a new Sardar sub-equation approach, leading to the successful derivation of several exact solutions for the time-fractional Kudryashov’s equation, which describes the propagation pulses in optical fibers.
Muhammad Amin S. Murad, Waqas Ali Faridi, Mujahid Iqbal, Ahmed H. Arnous, Nehad Ali Shah, Jae Dong Chung   +5 more
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Nonlinear Schrödinger equations with spatio-temporal dispersion in Kerr, parabolic, power and dual power law media: A novel extended Kudryashov’s algorithm and soliton solutions

Results in Physics, 2017
In this study, we perform the extended Kudryashov method to nonlinear Schrödinger equation (NLSE) with spatio-temporal dispersion that arises in a propagation of light in nonlinear optical fibers, planar waveguides, Bose–Einstein condensate theory.
Yakup Yıldırım, Nisa Çelik, Emrullah Yaşar   +2 more
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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
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Chirped gap solitons with Kudryashov’s law of self-phase modulation having dispersive reflectivity

Journal of the European Optical Society-Rapid Publications, 2023
The present study is devoted to investigate the chirped gap solitons with Kudryashov’s law of self-phase modulation having dispersive reflectivity. Thus, the mathematical model consists of coupled nonlinear Schrödinger equation (NLSE) that describes ...
Al-Ghafri Khalil S., Sankar Mani, Krishnan Edamana V., Biswas Anjan, Asiri Asim   +4 more
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Dynamics of M-truncated optical solitons and other solutions to the fractional Kudryashov’s equation

Results in Physics
The study of soliton theory plays a crucial role in the telecommunication industry’s utilization of nonlinear optics. The principal area of research in the field of optical solitons revolves around optical fibers, metamaterials, metasurfaces, magneto ...
Usman Younas, Fengping Yao, Naila Nasreen, Aziz Khan, Thabet Abdeljawad   +4 more
doaj   +2 more sources