Results 21 to 30 of about 6,386,161 (167)

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

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

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

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

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

Oscillatory magneto-convection under magnetic field modulation

Alexandria Engineering Journal, 2018
In this paper we investigate an oscillatory mode of nonlinear magneto-convection under time dependant magnetic field. The time dependant magnetic field consists steady and oscillatory parts.
Palle Kiran, B.S. Bhadauria, Y. Narasimhulu   +2 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

A comparison of Landau-Ginzburg models for odd-dimensional Quadrics [PDF]

, 2018
In [Rie08], the second author defined a Landau-Ginzburg model for homogeneous spaces G/P, as a regular function on an affine subvariety of the Langlands dual group.
Rietsch, Konstanze, Pech, Clelia
core   +2 more sources