Results 21 to 30 of about 2,462 (177)

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

Response solution to complex Ginzburg–Landau equation with quasi-periodic forcing of Liouvillean frequency

Boundary Value Problems, 2020
In this paper, the existence of a response solution with the Liouvillean frequency vector to the quasi-periodically forced complex Ginzburg–Landau equation, whose linearized system is elliptic–hyperbolic, is obtained. The proof is based on constructing a
Shimin Wang, Jie Liu
doaj   +1 more source

Nonequilibrium dynamics in the complex Ginzburg-Landau equation [PDF]

, 2001
Results from a comprehensive analytical and numerical study of nonequilibrium dynamics in the two-dimensional complex Ginzburg-Landau equation have been presented. In particular, spiral defects have been used to characterize the domain growth law and the
Cross, M. C., Puri, Sanjay, Das, Subir K.   +2 more
core   +1 more source

Dynamics of Fractional Stochastic Ginzburg–Landau Equation Driven by Nonlinear Noise

Mathematics, 2022
In this work, we focus on the long-time behavior of the solutions of the stochastic fractional complex Ginzburg–Landau equation defined on Rn with polynomial drift terms of arbitrary order.
Hong Lu, Linlin Wang, Mingji Zhang
doaj   +1 more source

Local dynamics of laser chain model with optoelectronic delayed unidirectional coupling [PDF]

Известия высших учебных заведений: Прикладная нелинейная динамика, 2022
Purpose. The local dynamics of the laser chain model with optoelectronic delayed unidirectional coupling is investigated. A system of equations is considered that describes the dynamics of a closed chain of a large number of lasers with optoelectronic ...
Grigorieva, Elena Viktorovna, Kashchenko, Sergej Aleksandrovich   +1 more
doaj   +1 more source

Integrability and chaotic dynamics in nonlinear dispersive stochastic model

Results in Applied Mathematics
This paper focuses on obtaining exact solutions and dynamical analysis of the stochastic real-valued Ginzburg–Landau equation driven by multiplicative Itô noise.
Muhammad Aziz-ur-Rehman, Muhammad Moneeb Tariq, Ayesha Zafar, Muhammad Bilal Riaz   +3 more
doaj   +1 more source

Highly Dispersive Optical Soliton Perturbation, with Maximum Intensity, for the Complex Ginzburg–Landau Equation by Semi-Inverse Variation

Mathematics, 2022
This work analytically recovers the highly dispersive bright 1–soliton solution using for the perturbed complex Ginzburg–Landau equation, which is studied with three forms of nonlinear refractive index structures.
Anjan Biswas, Trevor Berkemeyer, Salam Khan, Luminita Moraru, Yakup Yıldırım, Hashim M. Alshehri   +5 more
doaj   +1 more source