Results 1 to 10 of about 81,020 (195)

Internal Modes of Solitons and Near-Integrable Highly-Dispersive Nonlinear Systems [PDF]

Symmetry, Integrability and Geometry: Methods and Applications, 2006
The transition from integrable to non-integrable highly-dispersive nonlinear models is investigated. The sine-Gordon and $varphi^4$-equations with the additional fourth-order spatial and spatio-temporal derivatives, describing the higher dispersion ...
Oksana V. Charkina, Mikhail M. Bogdan
doaj   +9 more sources

Exploring highly dispersive optical solitons and modulation instability in nonlinear Schrödinger equations with nonlocal self phase modulation and polarization dispersion [PDF]

Scientific Reports
This study explores the dynamics of highly dispersive optical solitons in nonlinear Schrödinger equations (NLSE) with non-local self-phase modulation (SPM) and polarization-mode dispersion (PMD).
Wafy M. Hasan, Hamdy M. Ahmed, Ahmed M. Ahmed, Haytham M. Rezk, Wafaa B. Rabie   +4 more
doaj   +3 more sources

Highly Dispersive Optical Solitons with Four Forms of Self-Phase Modulation

Universe, 2023
This paper implements the enhanced Kudryashov approach to retrieve highly dispersive optical solitons and study it with four nonlinear forms. These are the power law, generalized quadratic-cubic law, triple-power law, and the generalized non-local law ...
Ahmed M. Elsherbeny, Ahmed H. Arnous, Anjan Biswas, Oswaldo González-Gaxiola, Luminita Moraru, Simona Moldovanu, Catalina Iticescu, Hashim M. Alshehri   +7 more
doaj   +3 more sources

Highly dispersive optical soliton perturbation with Kerr law for complex Ginzburg–Landau equation [PDF]

Proceedings of the Estonian Academy of Sciences, 2023
In this paper, highly dispersive optical solitons are obtained with the perturbed complex Ginzburg–Landau equation, incorporating the Kerr law of nonlinearity, by the complete discriminant classification approach.
Ming-Yue Wang, Anjan Biswas, Yakup Yıldırım, Maggie Aphane, Seithuti P. Moshokoa, Abdulah A. Alghamdi   +5 more
doaj   +3 more sources

Highly Dispersive Optical Solitons with Complex Ginzburg–Landau Equation Having Six Nonlinear Forms [PDF]

Mathematics, 2021
This paper retrieves highly dispersive optical solitons to complex Ginzburg–Landau equation having six forms of nonlinear refractive index structures for the very first time. The enhanced version of the Kudryashov approach is the adopted integration tool.
Elsayed M. E. Zayed, Khaled A. Gepreel, Mahmoud El-Horbaty, Anjan Biswas, Yakup Yıldırım, Hashim M. Alshehri   +5 more
doaj   +2 more sources

Highly Dispersive Optical Solitons in Absence of Self-Phase Modulation by Laplace-Adomian Decomposition

Photonics, 2023
This article studies highly dispersive optical solitons without of self-phase modulation effect. The numerical algorithm implemented in this work is Laplace-Adomian decomposition method. Both bright and dark solitons are addressed.
Oswaldo González-Gaxiola, Anjan Biswas, Luminita Moraru, Simona Moldovanu   +3 more
doaj   +2 more sources

Investigating the potential of optical metamaterials with highly dispersive solitons in twin couplers with stochastic perturbations and white noise effects

Ain Shams Engineering Journal
This study emphasizes a unique contribution as we investigate the dimensionless version of the perturbed stochastic NLSE within an optical metamaterial-designed coupler.
Elsayed M.E. Zayed, Mahmoud M. El-Horbaty, Mona El-Shater, Ahmed H. Arnous, Aydin Secer, Muslum Ozisik, Mustafa Bayram, Ahmed M. Elsherbeny   +7 more
doaj   +2 more sources

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   +2 more sources

Highly Dispersive Optical Solitons in Fiber Bragg Gratings with Quadratic-Cubic Nonlinearity

Electronics, 2022
Highly dispersive solitons in fiber Bragg gratings with quadratic-cubic law of nonlinear refractive index are studied in this paper. The G′/G-expansion approach and the enhanced Kudryashov’s scheme have made this retrieval possible. A deluge of solitons, that emerge from the two integration schemes, are presented.
Elsayed M. E. Zayed, Mohamed E. M. Alngar, Reham M. A. Shohib, Anjan Biswas, Yakup Yıldırım, Luminita Moraru, Simona Moldovanu, Catalina Iticescu   +7 more
openaire   +2 more sources

Highly dispersive optical solitons in fiber Bragg gratings for stochastic Lakshmanan–Porsezian–Daniel equation with spatio-temporal dispersion and multiplicative white noise

Results in Physics, 2023
Nonlinear partial differential equations serve as key components for the mathematical representation of engineering phenomena across several domains within the known universe.
Elsayed M.E. Zayed, Ahmed H. Arnous, Aydin Secer, Muslum Ozisik, Mustafa Bayram, Nehad Ali Shah, Jae Dong Chung   +6 more
doaj   +2 more sources