Standing waves of the complex Ginzburg-Landau equation
From MaRDI portal
Publication:2445121
DOI10.1016/j.na.2014.03.001zbMath1288.35442arXiv1301.5526OpenAlexW2029840607MaRDI QIDQ2445121
Thierry Cazenave, Flávio Dickstein, Fred B. Weissler
Publication date: 14 April 2014
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1301.5526
Related Items (11)
Stochastic Ginzburg–Landau equation on a half-line driven by the multiplicative noise ⋮ A note on bifurcations from eigenvalues of the Dirichlet-Laplacian with arbitrary multiplicity ⋮ On a coupled system of a Ginzburg–Landau equation with a quasilinear conservation law ⋮ Some stability results for the complex Ginzburg–Landau equation ⋮ Existence of standing waves for the complex Ginzburg-Landau equation ⋮ On the nonrelativistic limit of a semilinear field equation in a homogeneous and isotropic space ⋮ Local well-posedness of the complex Ginzburg-Landau equation in bounded domains ⋮ Regularity Analysis for Stochastic Complex Landau--Ginzburg Equation with Dirichlet White-Noise Boundary Conditions ⋮ A generalized complex Ginzburg-Landau equation: global existence and stability results ⋮ Stochastic Ginzburg-Landau equation on a half-line with Neumann type white-noise boundary conditions ⋮ Stochastic Landau–Ginzburg equation with white-noise boundary conditions of Robin type
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Exact front, soliton and hole solutions for a modified complex Ginzburg-Landau equation from the harmonic balance method
- Stationary modulated-amplitude waves in the 1D complex Ginzburg-Landau equation
- Traveling hole solutions to the complex Ginzburg-Landau equation as perturbations of nonlinear Schrödinger dark solitons
- Nonlinear scalar field equations. I: Existence of a ground state
- The complex cubic--quintic Ginzburg--Landau equation: Hopf bifurcations yielding traveling waves
- Fronts, pulses, sources and sinks in generalized complex Ginzburg-Landau equations
- Traveling waves in the complex Ginzburg-Landau equation
- Weak and strong solutions of the complex Ginzburg-Landau equation
- Dynamics on the global attractor of a gradient flow arising from the Ginzburg-Landau equation
- The Cauchy problem in local spaces for the complex Ginzburg-Landau equation. II: Contraction methods
- Global existence and smoothing effect for the complex Ginzburg-Landau equation with \(p\)-Laplacian
- Monotonicity method for the complex Ginzburg-Landau equation, including smoothing effect.
- Complex Ginzburg-Landau equations as perturbations of nonlinear Schrödinger equations: a Melnikov approach
- The Cauchy problem in local spaces for the complex Ginzburg-Landau equation. I: Compactness methods
- Low-dimensional behaviour in the complex Ginzburg-Landau equation
- Distribution-valued initial data for the complex ginzburg-landau equation
- STATIONARY LOCALIZED SOLUTIONS IN THE SUBCRITICAL COMPLEX GINZBURG–LANDAU EQUATION
- Pattern formation outside of equilibrium
- Pulse solutions of the modified cubic complex Ginzburg–Landau equation
- A non-linear instability theory for a wave system in plane Poiseuille flow
- Hole solutions in the 1D complex Ginzburg-Landau equation
- From dark solitons in the defocusing nonlinear Schrödinger to holes in the complex Ginzburg-Landau equation
- Perturbation theory for \(m\)-accretive operators and generalized complex Ginzburg-Landau equations.
- Monotonicity method applied to the complex Ginzburg-Landau and related equations
This page was built for publication: Standing waves of the complex Ginzburg-Landau equation
