Results 31 to 40 of about 23,473 (246)

Bright-Dark and Multi Solitons Solutions of (3 + 1)-Dimensional Cubic-Quintic Complex Ginzburg–Landau Dynamical Equation with Applications and Stability

Entropy, 2020
In this paper, bright-dark, multi solitons, and other solutions of a (3 + 1)-dimensional cubic-quintic complex Ginzburg−Landau (CQCGL) dynamical equation are constructed via employing three proposed mathematical techniques.
Chen Yue, Dianchen Lu, Muhammad Arshad, Naila Nasreen, Xiaoyong Qian   +4 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

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

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   +1 more source

Optical solitons with differential group delay for complex Ginzburg–Landau equation

Results in Physics, 2020
This paper addresses optical solitons in birefringent fibers that is modeled by complex Ginzburg–Landau equation with Kerr law nonlinearity. Three forms of integration architecture retrieves soliton and other solutions to the model.
Yakup Yıldırım, Anjan Biswas, Anwar Ja’afar Mohamad Jawad, Mehmet Ekici, Qin Zhou, Abdullah Kamis Alzahrani, Milivoj R. Belic   +6 more
doaj   +1 more source

Machine-Learning-Guided Design of Incommensurate Antiferroelectrics via Field-Driven Phase Engineering. [PDF]

Adv Sci (Weinh)
The key to enhancing the energy storage performance of antiferroelectrics lies in regulating the phase transition and reverse phase transition. A phase‐field‐machine learning framework is employed to predict the energy storage performance of Pb‐based incommensurate antiferroelectrics with multi‐scale regulation strategy, thereby revealing the dynamic ...
Xu K, Shi X, Xi Z, Dong S, Guo C, Gao R, Yang L, Wang J, Zhou D, Huang H.   +9 more
europepmc   +2 more sources

Pullback attractors for the non-autonomous complex Ginzburg–Landau type equation with p-Laplacian

Nonlinear Analysis, 2015
In this paper, we are concerned with the long-time behavior of the non-autonomous complex Ginzburg–Landau type equation with p-Laplacian. We first prove the existence of pullback absorbing sets in L2(Ω)∩W01,p(Ω)∩Lq(Ω) for the process {U(t,τ)}t⩾τ ...
Fang Li, Bo You
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

BIFURCATION TO CHAOS IN THE СOMPLEX GINZBURG–LANDAU EQUATION WITH LARGE THIRD-ORDER DISPERSION

Моделирование и анализ информационных систем, 2015
We give an analytic proof of the existence of Shilnikov chaos in complex Ginzburg– Landau equation subject to a large third-order dispersion perturbation.
I. I. Ovsyannikov, D. V. Turaev, S. V. Zelik   +2 more
doaj   +1 more source

New Explicit Propagating Solitary Waves Formation and Sensitive Visualization of the Dynamical System

Fractal and Fractional, 2023
This work discusses the soliton solutions for the fractional complex Ginzburg–Landau equation in Kerr law media. It is a particularly fascinating model in this context as it is a dissipative variant of the Hamiltonian nonlinear Schrödinger equation with ...
Rana Muhammad Zulqarnain, Wen-Xiu Ma, Sayed M. Eldin, Khush Bukht Mehdi, Waqas Ali Faridi   +4 more
doaj   +1 more source

A study of variation in dynamical behavior of fractional complex Ginzburg-Landau model for different fractional operators

Ain Shams Engineering Journal, 2023
The fractional complex Ginzburg–Landau model is widely used in the description of wave propagation through optical transmission lines. It has many useful applications in the fields of telecommunications and nonlinear optics.
Ghazala Akram, Saima Arshed, Maasoomah Sadaf, Kainat Farooq   +3 more
doaj   +1 more source