Results 1 to 10 of about 40 (39)

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

Quiescent optical solitons with Kudryashov’s law of nonlinear refractive index

Results in Physics, 2023
The present study reports quiescent optical solitons for Kudryashov’s proposed form of self-phase modulation with quintuple nonlinearity having two power-law parameters. The solitons were retrieved with the usage of enhanced Kudryashov’s algorithm.
Ahmed H. Arnous, Anjan Biswas, Yakup Yıldırım, Luminita Moraru, Simona Moldovanu, Abdulah A. Alghamdi   +5 more
doaj   +1 more source

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

Highly Dispersive Optical Solitons in Fiber Bragg Gratings with Kerr Law of Nonlinear Refractive Index

Mathematics, 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. A full spectrum of solitons
Elsayed M. E. Zayed, Mohamed E. M. Alngar, Reham M. A. Shohib, Anjan Biswas, Yakup Yıldırım, Salam Khan, Luminita Moraru, Simona Moldovanu, Catalina Iticescu   +8 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
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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
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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
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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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