Results 21 to 30 of about 36,135 (246)

Exact traveling wave solutions of the space–time fractional complex Ginzburg–Landau equation and the space-time fractional Phi-4 equation using reliable methods

Advances in Difference Equations, 2019
Ultrashort pulse propagation in optical transmission lines and phenomena in particle physics can be investigated via the cubic–quintic Ginzburg–Landau equation and the Phi-4 equation, respectively.
Sekson Sirisubtawee, Sanoe Koonprasert, Surattana Sungnul, Takerngsak Leekparn   +3 more
doaj   +1 more source

Instability of the steady states of some Ginzburg–Landau-like equations with real coefficients [PDF]

, 2005
The instability of the steady states with nonconstant amplitude is analysed for a nonlocal Ginzburg–Landau equation with real coefficients and quasiperiodic boundary conditions.
Adams R A, Alvarez-Pereira C, Coddington E A, Courant R, Dieudonné J, Doelman A, Elmer F J, Faraday M, Fauve S, Hale J K, Henry D, José M Vega, Knobloch E, Kramer L, Kreyszig E, Lady?enskaja O A, Lapuerta V, Lord Rayleigh J W S, Mancebo F J Vega J M, Martel C, Martel C, Matthews P C, Matthews P C, Newell A, Norbury J, Tanaka D, Vega J M   +26 more
core   +2 more sources

Sensitive behavior and optical solitons of complex fractional Ginzburg–Landau equation: A comparative paradigm

Results in Physics, 2021
This article obtains the optical solitons of the complex fractional Ginzburg–Landau equation by the hypothesis of traveling wave and generalized projective Riccati equation scheme.
Saima Arshed, Nauman Raza, Riaz Ur Rahman, Asma Rashid Butt, Wen-Hua Huang   +4 more
doaj   +1 more source

Fractional Ginzburg–Landau equation for fractal media [PDF]

Physica A: Statistical Mechanics and its Applications, 2005
We derive the fractional generalization of the Ginzburg-Landau equation from the variational Euler-Lagrange equation for fractal media. To describe fractal media we use the fractional integrals considered as approximations of integrals on fractals. Some simple solutions of the Ginzburg-Landau equation for fractal media are considered and different ...
Tarasov, Vasily E., Zaslavsky, George M.
openaire   +2 more sources

The equation of state for metal-doped ferroelectrics within the Weiss model

Journal of Advanced Dielectrics, 2022
This paper presents a theoretical model for describing the thermodynamic properties of doped ferroelectric crystals based on a modified Weiss mean-field approach.
Ivan A. Starkov, Mikhail A. Mishnev, Alexander S. Starkov   +2 more
doaj   +1 more source

A Fourth Order Energy Dissipative Scheme for a Traffic Flow Model

Mathematics, 2020
We propose, analyze and numerically validate a new energy dissipative scheme for the Ginzburg–Landau equation by using the invariant energy quadratization approach.
Xiaowei Chen, Mingzhan Song, Songhe Song
doaj   +1 more source

Multistable Pulse-like Solutions in a Parametrically Driven Ginzburg-Landau Equation [PDF]

, 2003
It is well known that pulse-like solutions of the cubic complex Ginzburg-Landau equation are unstable but can be stabilised by the addition of quintic terms.
A. Mecozzi, B. Denardo, B.A. Malomed, B.A. Malomed, B.A. Malomed, Boris A. Malomed, C. Elphick, C. Elphick, C. Utzny, D. Cai, G. Huang, G.-L. Oppo, G.J. de Valcárcel, H. Sakaguchi, I. V. Barashenkov, I.S. Aranson, I.V. Barashenkov, I.V. Barashenkov, I.V. Barashenkov, J. Yu, J.W. Miles, K. Staliunas, L.S. Tsimring, M. Bondila, M.C. Cross, N.V. Alexeeva, N.V. Alexeeva, O. Thual, P. Coullet, P. Coullet, P. Coullet, P. Coullet, R. Driben, S. Cross, S. Fauve, S. Longhi, S. Longhi, S. Longhi, S. Longhi, S. Longhi, S. Longhi, S. Longhi, S.-Y. Lou, S.V. Kiyashko, T. Frisch, T. Frisch, V. Hakim, V.S. Shchesnovich, W. Chen, W. Zhang, X. Wang   +50 more
core   +1 more source

Conservative Finite-Difference Scheme for 1D Ginzburg–Landau Equation

Mathematics, 2022
In this study, our attention is focused on deriving integrals of motion (conservation laws; invariants) for the problem of an optical pulse propagation in an optical fiber containing an optical amplifier or attenuator because, to date, such invariants ...
Vyacheslav Trofimov, Maria Loginova, Mikhail Fedotov, Daniil Tikhvinskii, Yongqiang Yang, Boyuan Zheng   +5 more
doaj   +1 more source

New waves solutions of a nonlinear Landau–Ginzburg–Higgs equation: The Sardar-subequation and energy balance approaches

Results in Physics, 2023
This article investigates the significance of the unsteady nonlinear Landau–Ginzburg–Higgs equation in the context of superfluids and Bose–Einstein condensates. The problem of interest is the search for new exact solutions within this equation. To tackle
Shafiq Ahmad, Emad E. Mahmoud, Sayed Saifullah, Aman Ullah, Shabir Ahmad, Ali Akgül, Sayed M. El Din   +6 more
doaj   +1 more source

The exact solutions of the stochastic Ginzburg–Landau equation

Results in Physics, 2021
The main goal of this paper is to obtain the exact solutions of the stochastic real-valued Ginzburg–Landau equation, which is forced by multiplicative noise in the Itô sense.
Wael W. Mohammed, Hijaz Ahmad, Amjad E. Hamza, E.S. ALy, M. El-Morshedy, E.M. Elabbasy   +5 more
doaj   +1 more source