Results 21 to 30 of about 5,836,248 (102)

Optical soliton perturbation with Kudryashov’s generalized law of refractive index and generalized nonlocal laws by improved modified extended tanh method

Alexandria Engineering Journal, 2022
In this work, the improved modified extended tanh scheme is implemented to extract exact travelling wave solutions for perturbed nonlinear Schrödinger’s equation with Kudryashov’s law of refractive index and dual form of generalized nonlocal nonlinearity.
Islam Samir, Niveen Badra, Hamdy M. Ahmed, Ahmed H. Arnous   +3 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

Highly dispersive optical soliton perturbation with Kudryashov’s sextic-power law nonlinear refractive index by semi-inverse variation

Results in Physics, 2021
A single bright highly dispersive optical soliton solution is recovered from semi-inverse variational principle. The model contains six power law nonlinear terms that constitute self-phase modulation effect which was proposed by Kudryashov. The amplitude–
Anjan Biswas, Mehmet Ekici, Anelia Dakova, Salam Khan, Seithuti P. Moshokoa, Hashim M. Alshehri, Milivoj R. Belic   +6 more
doaj   +1 more source

Construction of solitons and other solutions for NLSE with Kudryashov’s generalized nonlinear refractive index

, 2023
In our study we implement an improved modified extended tanh-function (IMETF) method for constructing new solitons and other types of solutions with NLSE having Kudryashov’s generalized nonlinear refractive index.
Hamdy M. Ahmed, Afaf Zaghrout, Manar Ahmed   +2 more
core   +1 more source

Optical solitons with Kudryashov’s sextic power-law nonlinearity

, 2022
Objective – The main objective of this paper is to investigate analytic soliton solutions of a nonlinear Schrödinger equation (NLSE), including Kudryashov’s sextic power-law nonlinearity by introducing different approaches of two efficient analytical ...
Bayram, Mustafa, Seçer, Aydın, Özışık, Müslüm, Çınar, Melih, Ozisik, Müslüm, Aydin Secer, Mustafa Bayram, Muslum Ozisik, Melih Cinar   +8 more
core   +1 more source

Different forms of optical soliton solutions to the Kudryashov’s quintuple self-phase modulation with dual-form of generalized nonlocal nonlinearity

Results in Physics, 2023
In this paper, the exact soliton solutions and other exact solutions for nonlinear Schrodinger’s equation having Kudryashov’s quintuple power law of refractive index together with dual form of generalized nonlocal nonlinearity are studied.
Ruijuan Li, Zainab Ali Bu Sinnah, Zahra Montazeri Shatouri, Jalil Manafian, Mehdi Fazli Aghdaei, Ammar Kadi   +5 more
doaj   +1 more source

Dispersive solitons in magneto-optic waveguides with Kudryashov’s form of self-phase modulation

, 2022
This paper retrieves the coupled system of nonlinear Schrödinger’s equation with Kudryashov’s equation in magneto-optic waveguides. We obtain three types of optical wave patterns with the help of the trial equation approach and the complete discriminant ...
Wang, Ming-Yue, Biswas, Anjan, Yıldırım, Yakup, Alshehri, Hashim M.   +3 more
core   +1 more source

Cubic-quartic optical solitons with Kudryashov’s law of refractive index by F-expansions schemes

Results in Physics, 2020
This work presents cubic-quartic optical soliton solutions to Kudryashov’s equation in polarization-preserving fibers. The integration is conducted with F-expansion scheme having four independent forms.
Gokhan Genc, Mehmet Ekici, Anjan Biswas, Milivoj R. Belic   +3 more
doaj   +1 more source

Traveling Wave Solutions to the Nonlinear Evolution Equation Using Expansion Method and Addendum to Kudryashov’s Method

, 2021
The inspection of wave motion and propagation of diffusion, convection, dispersion, and dissipation is a key research area in mathematics, physics, engineering, and real-time application fields.
Hammad Alotaibi
core   +1 more source

Exact Optical Solitons for Generalized Kudryashov’s Equation by Lie Symmetry Method

, 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, Amr Elsonbaty, M. S. Abdel Latif, A. H. Abdel Kader   +4 more
core   +1 more source