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Nonlinear Dynamics, ISSN 0924-090X, 9/2017, Volume 89, Issue 4, pp. 2933 - 2939
Journal Article
Nonlinear Analysis: Real World Applications, ISSN 1468-1218, 06/2018, Volume 41, pp. 607 - 641
The initial-dynamic boundary value problem (idbvp) for the complex Ginzburg–Landau equation (CGLE) on bounded domains of RN is studied by converting the given mathematical model into a Wentzell initial... 
Complex Ginzburg–Landau equations | Inviscid limits | Dynamic boundary conditions | WEAK | MATHEMATICS, APPLIED | Complex Ginzburg-Landau equations | NONLINEAR SCHRODINGER-EQUATIONS | LOCAL SPACES | STABILIZATION | UNIFORM DECAY-RATES | CAUCHY-PROBLEM | WELL-POSEDNESS | MODEL
Journal Article
Nonlinear dynamics, ISSN 0924-090X, 2019, Volume 97, Issue 1, pp. 151 - 159
.... We derive simple analytic conditions for the onset of amplitude death of one macroscopic wavefunction in a system of two coupled complex Ginzburg-Landau equations with general nonlinear self... 
STABILITY | SPATIOTEMPORAL CHAOS | MODE-LOCKING | Amplitude death | ENGINEERING, MECHANICAL | FIBERS | WAVES | MECHANICS | SOLITONS | Asymmetry | BOUNDS | Cross-phase modulation | Coupled complex Ginzburg-Landau systems | EQUATION | Thermodynamics | Lasers | Numerical analysis | Collapse | Nonlinear equations | Amplitudes | Computer simulation | Solid state lasers | Analog circuits | Death | Wave functions | Oscillators
Journal Article
Optics communications, ISSN 0030-4018, 2018, Volume 416, pp. 190 - 201
Journal Article
Modern physics letters A, ISSN 1793-6632, 2019, Volume 34, Issue 3, p. 1950019
...–Landau equation with Kerr law of nonlinearity. Meanwhile, the interaction between rational solutions and the kink wave is also investigated... 
Rational solutions | logarithmic transformations | multi-waves interactions | complex Ginzburg-Landau equation | SCHRODINGER-EQUATION | PHYSICS, NUCLEAR | OPTICAL SOLITONS | PHYSICS, MATHEMATICAL | LUMP | SOLITON-SOLUTIONS | HIGHER-ORDER | ASTRONOMY & ASTROPHYSICS | BRIGHT | PHYSICS, PARTICLES & FIELDS
Journal Article
Optik, ISSN 0030-4026, 04/2018, Volume 158, pp. 368 - 375
Journal Article
Optik, ISSN 0030-4026, 07/2018, Volume 164, pp. 210 - 217
The main object of this paper is to construct the new exact solutions of a nonlinear evolution equation that appears in mathematical physics, specifically complex cubic-quintic Ginzburg... 
Nonlinear partial differential equations | Complex cubic-quintic Ginzburg–Landau Equation | First integral method | Exact solutions | PERTURBATION | Equation | DARK | OPTICAL SOLITONS | FIBERS | TRAVELING-WAVE SOLUTIONS | Complex cubic-quintic Ginzburg-Landau | KERR | OPTICS | SPATIOTEMPORAL DISPERSION | NONLINEAR EVOLUTION-EQUATIONS
Journal Article
Communications in Mathematical Physics, ISSN 0010-3616, 3/2017, Volume 350, Issue 2, pp. 507 - 568
Journal Article
EPL, ISSN 0295-5075, 11/2019, Volume 128, Issue 3, p. 30006
The complex Ginzburg-Landau equation with additive noise is a stochastic partial differential equation that describes a remarkably wide range of physical systems which include coupled non-linear... 
PHYSICS, MULTIDISCIPLINARY | EQUILIBRIUM DYNAMICS | CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY | aging | pattern formation | complex Ginzburg-Landau equation | dynamic scaling
Journal Article
Archive for Rational Mechanics and Analysis, ISSN 0003-9527, 6/2018, Volume 228, Issue 3, pp. 995 - 1058
We construct a solution for the Complex Ginzburg–Landau equation in a critical case which blows up in finite time T only at one blow-up point... 
Physics, general | Fluid- and Aerodynamics | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | Classical Mechanics | MATHEMATICS, APPLIED | MECHANICS | SEMILINEAR HEAT-EQUATIONS | SET | NO GRADIENT STRUCTURE | MULTI-BUMP | CONVECTION | STABILITY | BEHAVIOR | LIOUVILLE THEOREM | FLOW
Journal Article
Communications in Mathematical Physics, ISSN 0010-3616, 2/2017, Volume 350, Issue 1, pp. 105 - 128
We analyze 2-dimensional Ginzburg–Landau vortices at critical coupling, and establish asymptotic formulas for the tangent vectors of the vortex moduli space using theorems of Taubes and Bradlow... 
Quantum Physics | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | VORTEX MODULI SPACES | EQUATIONS | PHYSICS, MATHEMATICAL | CURVATURE
Journal Article
Modern Physics Letters B, ISSN 0217-9849, 08/2018, Volume 32, Issue 24, p. 1850286
...–Landau equations are obtained using the auxiliary function method, Hirota method and the ansatz function technique under certain constraint conditions of coefficients in equations, respectively... 
Hirota method | Ansatz function method | Auxiliary function method | 2D coupled complex Ginzburg-Landau equations | PHYSICS, CONDENSED MATTER | PHYSICS, APPLIED | auxiliary function method | PHYSICS, MATHEMATICAL | ansatz function method
Journal Article
Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena, ISSN 0960-0779, 02/2020, Volume 131, p. 109471
•We study dynamics of dissipative solitons in a novel framework: complex Ginzburg-Landau equation of a fractional order... 
Dissipative solitons | Fractional complex Ginzburg-Landau equation | Effective diffusion | GAP SOLITONS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | PHYSICS, MULTIDISCIPLINARY | BEAMS | SCHRODINGER-EQUATION | OPTICS | SPATIAL SOLITONS | PHYSICS, MATHEMATICAL
Journal Article
Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 08/2018, Volume 61, pp. 248 - 270
....•A variety of structural changes in the moduli space of solutions of the complex Ginzburg–Landau equation were uncovered, in particular, in a subspace of group orbits of a very general class of invariant solutions not extensively studied... 
Invariant solutions | Numerical continuation | Complex Ginzburg–Landau equation | Continuous symmetries | MATHEMATICS, APPLIED | PHYSICS, FLUIDS & PLASMAS | PHYSICS, MATHEMATICAL | CHAOS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | SYMMETRY | Complex Ginzburg-Landau equation | DYNAMICS | CONVERGENCE | TIME-PERIODIC SOLUTIONS
Journal Article
Nonlinear Analysis: Real World Applications, ISSN 1468-1218, 02/2019, Volume 45, pp. 877 - 894
In this paper, we are concerned with the local well-posedness of the initial–boundary value problem for complex Ginzburg–Landau (CGL... 
Local well-posedness | Initial–boundary value problem | Subdifferential operator | Complex Ginzburg–Landau equation | MATHEMATICS, APPLIED | Initial-boundary value problem | Complex Ginzburg-Landau equation | FINITE-TIME BLOWUP
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 06/2015, Volume 260, pp. 269 - 287
The complex Ginzburg–Landau equation is often encountered in physics and engineering applications, such as nonlinear transmission lines, solitons, and superconductivity... 
Compact finite difference scheme | Complex Ginzburg–Landau equation | Stability | Ginzburg-Landau equation | Complex | MATHEMATICS, APPLIED | SUPERCONDUCTIVITY | Complex Ginzburg-Landau equation | APPROXIMATIONS | ELECTRICAL TRANSMISSION-LINE | SCHRODINGER-EQUATION | WISE ERROR ESTIMATE | TIME | MODEL | PULSES
Journal Article