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Wyszukujesz frazę "Ginzburg-Landau equation" wg kryterium: Temat


Wyświetlanie 1-3 z 3
Tytuł:
Transmission stability of chirped dark vector quasi-solitons in birefringent fiber system with nonlinear gain
Autorzy:
Xiao, Yan
Zhang, Jing
He, Qi
Powiązania:
https://bibliotekanauki.pl/articles/1835764.pdf
Data publikacji:
2021
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
chirped dark vector quasi-soliton
coupled Ginzburg-Landau equation
birefringent fiber
Opis:
In this article, we consider the coupled Ginzburg–Landau equation with variable coefficients including the nonlinear gain and obtain the exact solutions of chirped dark vector quasi-solitons via the ansatz method. Next, the propagation of chirped dark vector quasi-solitons is discussed to verify whether they can be transmitted stably in the birefringent optical fiber system. The numerical simulation shows that this can be achieved. We deeply add the small perturbation to the transmission of dark vector quasi-solitons to make the results above more general. The results further prove the correctness of our solutions.
Źródło:
Optica Applicata; 2021, 51, 1; 51-58
0078-5466
1899-7015
Pojawia się w:
Optica Applicata
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The effect of modulation on heat transport by a weakly nonlinear thermal instability in the presence of applied magnetic field and internal heating
Autorzy:
Manjula, S. H.
Kiran, Palle
Narsimlu, G.
Roslan, R.
Powiązania:
https://bibliotekanauki.pl/articles/1839705.pdf
Data publikacji:
2020
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
modulacja
pole magnetyczne
ogrzewanie
Ginzburg-Landau equation
temperature modulation
applied magnetic field
internal heating
Opis:
The present paper deals with a weakly nonlinear stability problem under an imposed time-periodic thermal modulation. The temperature has two parts: a constant part and an externally imposed time-dependent part. We focus on stationary convection using the slow time scale and quantify convective amplitude through the real Ginzburg-Landau equation (GLE). We have used the classical fourth order Runge-Kutta method to solve the real Ginzburg-Landau equation. The effect of various parameters on heat transport is discussed through GLE. It is found that heat transport analysis is controlled by suitably adjusting the frequency and amplitude of modulation. The applied magnetic field (effect of Ha) is to diminish the heat transfer in the system. Three different types of modulations thermal, gravity, and magnetic field have been compared. It is concluded that thermal modulation is more effective than gravity and magnetic modulation. The magnetic modulation stabilizes more and gravity modulation stabilizes partially than thermal modulation.
Źródło:
International Journal of Applied Mechanics and Engineering; 2020, 25, 4; 96-115
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stability analysis and internal heating effect on oscillatory convection in a viscoelastic fluid saturated porous medium under gravity modulation
Autorzy:
Bhadauria, B. S.
Singh, M. K.
Singh, A.
Singh, B. K.
Kiran, P.
Powiązania:
https://bibliotekanauki.pl/articles/265014.pdf
Data publikacji:
2016
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
analiza stabilności
grawitacja
ciecz lepkosprężysta
nonlinear stability analysis
complex Ginzburg-Landau equation
gravity modulation
internal heating
bifurcation
Opis:
In this paper, we investigate the combined effect of internal heating and time periodic gravity modulation in a viscoelastic fluid saturated porous medium by reducing the problem into a complex non-autonomous Ginzgburg-Landau equation. Weak nonlinear stability analysis has been performed by using power series expansion in terms of the amplitude of gravity modulation, which is assumed to be small. The Nusselt number is obtained in terms of the amplitude for oscillatory mode of convection. The influence of viscoelastic parameters on heat transfer has been discussed. Gravity modulation is found to have a destabilizing effect at low frequencies and a stabilizing effect at high frequencies. Finally, it is found that overstability advances the onset of convection, more with internal heating. The conditions for which the complex Ginzgburg-Landau equation undergoes Hopf bifurcation and the amplitude equation undergoes supercritical pitchfork bifurcation are studied.
Źródło:
International Journal of Applied Mechanics and Engineering; 2016, 21, 4; 785-803
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-3 z 3

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