Results 11 to 20 of about 5,836,248 (102)

Investigation of solitons in magneto-optic waveguides with Kudryashov’s law nonlinear refractive index for coupled system of generalized nonlinear Schrödinger’s equations using modified extended mapping method [PDF]

Nonlinear Analysis
In this work, we investigate the optical solitons and other waves through magneto-optic waveguides with Kudryashov’s law of nonlinear refractive index in the presence of chromatic dispersion and Hamiltonian-type perturbation factors using the modified ...
Karim K. Ahmed, Niveen M. Badra, Hamdy M. Ahmed, Wafaa B. Rabie, Mohammad Mirzazadeh, Mostafa Eslami, Mir Sajjad Hashemi   +6 more
doaj   +2 more sources

Noise effects on soliton structures of nonlinear Schrödinger equation with generalized Kudryashov's law non-linearity using modified extended mapping technique. [PDF]

Sci Rep
The main objective of this research is to extend and analyze a stochastic form of the resonant nonlinear Schrödinger equation (NLSE) that incorporates spatio-temporal dispersion, intermodal dispersion, and multiplicative white noise in the Itô sense ...
Mshary N, Bossly R, Ahmed HM.
europepmc   +2 more sources

Analytical methods and Riccati neural networks method of Kudryashov's quintuple self-phase modulation with dual-form of generalized nonlocal nonlinearity. [PDF]

Sci Rep
In this paper, the exact soliton solutions of the nonlinear Schrödinger’s equation having Kudryashov’s quintuple power law of refractive index together with dual form of generalized nonlocal nonlinearity are studied.
Yu D, Manafian J, Abdalrahem MK, Lakestani M, Ilhan OA, Malmir S, Nuray R, Hammadi AH.   +7 more
europepmc   +2 more sources

Quiescent Optical Solitons with Kudryashov’s Generalized Quintuple-Power and Nonlocal Nonlinearity Having Nonlinear Chromatic Dispersion

Universe, 2022
The paper derives stationary optical solitons with nonlinear chromatic dispersion. A nonlocal form of nonlinearity and quintuple power–law of nonlinearity are considered. The Kudryashov’s integration scheme enables to retrieve such solitons.
Ahmed H. Arnous, Taher A. Nofal, Anjan Biswas, Salam Khan, Luminita Moraru   +4 more
doaj   +1 more source

Optical Solitons with Cubic-Quintic-Septic-Nonic Nonlinearities and Quadrupled Power-Law Nonlinearity: An Observation

Mathematics, 2022
The current paper considers the enhanced Kudryashov’s technique to retrieve solitons with a governing model having cubic-quintic-septic-nonic and quadrupled structures of self-phase modulation.
Islam Samir, Ahmed H. Arnous, Yakup Yıldırım, Anjan Biswas, Luminita Moraru, Simona Moldovanu   +5 more
doaj   +1 more source

Optical soliton solutions of the generalized non-autonomous nonlinear Schrödinger equations by the new Kudryashov’s method

Results in Physics, 2021
In this work, we study the optical soliton solutions of the generalized non-autonomous nonlinear Schrödinger equation (NLSE) by means of the new Kudryashov’s method (NKM). The aforesaid model is examined with time-dependent coefficients.
Hadi Rezazadeh, Najib Ullah, Lanre Akinyemi, Abdullah Shah, Seyed Mehdi Mirhosseini-Alizamin, Yu-Ming Chu, Hijaz Ahmad   +6 more
doaj   +1 more source

Sequel to “cubic‐quartic optical soliton perturbation with complex Ginzburg–Landau equation by the enhanced Kudryashov's method”

IET Optoelectronics, 2022
This paper serves as a sequel to previously reported results on cubic‐quartic solitons with complex Ginzburg–Landau equation. This work is with various forms of power law nonlinearity that structures the self‐phase modulation.
Ahmed H. Arnous, Anjan Biswas, Abdul H. Kara, Daniela Milovic, Yakup Yıldırım, Hashim M. Alshehri   +5 more
doaj   +1 more source

Optical Solitons with the Complex Ginzburg–Landau Equation with Kudryashov’s Law of Refractive Index

Mathematics, 2022
In this paper, the optical solitons for the complex Ginzburg–Landau equation with Kudryashov’s law of refractive index are established. An improved modified extended tanh–function technique is used to extract numerous solutions. Bright and dark solitons,
Ahmed H. Arnous, Luminita Moraru
doaj   +1 more source

Highly Dispersive Optical Solitons in Birefringent Fibers of Complex Ginzburg–Landau Equation of Sixth Order with Kerr Law Nonlinear Refractive Index

Eng, 2023
In this paper, we derived optical soliton solutions with a highly dispersive nonlinear complex Ginzburg–Landau (CGL) equation in birefringent fibers that have Kerr law nonlinearity.
Elsayed M. E. Zayed, Khaled A. Gepreel, Mahmoud El-Horbaty, Mohamed E. M. Alngar   +3 more
doaj   +1 more source

The traveling wave mode for nonlinear Biswas–Milovic equation in magneto-optical wave guide coupling system with Kudryashov’s law of refractive index

Results in Physics, 2021
This paper studies the traveling wave modes for nonlinear Biswas–Milovic equation in magneto-optical wave guide coupling system with Kudryashov’s law of refractive index.
Li-Feng Guo, Wan-Rong Xu
doaj   +1 more source