Kaburaki, "Direct simulation of the time-dependent Ginzburg-Landau equation
for type-II superconducting thin film: Vortex dynamics and V-I characteristics," Physical Review Letters, vol.
Physics 871, "A variety of vortex state solutions of Ginzburg-Landau equation
on superconducting mesoscopic plates," Journal of Physics: Conference Series (JPCS), Article ID 012029, pp.
The analysis in [17-21] shows that the amplitude evolution equation is the complex Ginzburg-Landau equation
(GLE) under the rigid-lid assumption (free surface is treated as a rigid lid).
Li, "Exact homoclinic wave and soliton solutions for the 2D Ginzburg-Landau equation
," Physics Letters A, vol.
Staliunas, "Laser Ginzburg-Landau equation
and laser hydrodynamics," Physical Review A: Atomic, Molecular and Optical Physics, vol.
Guo, Gao, and Pu present some fundamentals of stochastic partialdifferential equations and introduce recent results concerning severalimportant examples, such as the Ginzburg-Landau equation
, Ostrovskyequation, geostrophic equations, and primitive equations inclimate.
A similar equation (1.1) is considered in the analysis of nonlinear optics and fluid dynamics processes, described by the Ginzburg-Landau equation
For the numerical experiments, we consider the Ginzburg-Landau equation
, an important instance of nonlinear Schrodinger equations, that models phenomena of certain superconductors.
ABSTRACT In this paper, an analytical approximation to the solution of Ginzburg-Landau equation
of fractional order is discussed.
Bound states of solitons was predicted in the coupled nonlinear Schodinger equations  and the quintic complex Ginzburg-Landau equation
[10, 11], and the formation of bound solitons was explained as a result of direct soliton interaction .
Hohenberg, "Pulses and fronts in the complex Ginzburg-Landau equation
near a subcritical bifurcation," Physical Review Letters, vol.
[9.] Biswas, A., "Temporal-soliton solution of the complex Ginzburg-Landau equation
with power law nonlinearity," Progress In Electromagnetics Research, Vol.