Complex Ginzburg-Landau equation for time-varying anisotropic media
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Publication:6670552
DOI10.1111/SAPM.12730MaRDI QIDQ6670552
Publication date: 23 January 2025
Published in: Studies in Applied Mathematics (Search for Journal in Brave)
solitary wavesanisotropynonautonomous differential equationsmodulational instabilitycomplex Ginzburg-Landau equationvariational approximationspatiotemporal chaos
Cites Work
- Title not available (Why is that?)
- Bright and dark optical solitons with time-dependent coefficients in a non-Kerr law media
- Stability on time-dependent domains
- The variational principle for nonlinear waves in dissipative systems
- Stability of plane-wave solutions of a dissipative generalization of the nonlinear Schrödinger equation
- Modulation instability: The beginning
- Exact first-order solutions of the nonlinear Schrödinger equation
- Generalization of the kink solution for superconductors with large penetration depths in the Ginzburg-Landau formalism
- Decay and scattering of solutions of a nonlinear Schrödinger equation
- Embedded solitons in Lagrangian and semi-Lagrangian systems
- Stability of periodic waves generated by long-wavelength instabilities in isotropic and anisotropic systems
- Conjectures about phase turbulence in the complex Ginzburg-Landau equation
- Entire vortex solutions of negative degree for the anisotropic Ginzburg-Landau system
- Adiabatic soliton management: controlling solitary wave motion while keeping the wave envelope unchanged
- Unstaggered-staggered solitons on one- and two-dimensional two-component discrete nonlinear Schrödinger lattices
- Amplitude death criteria for coupled complex Ginzburg-Landau systems
- Problems on time-varying domains: formulation, dynamics, and challenges
- Modulational stability of travelling waves in 2D anisotropic systems
- Variational solutions for the discrete nonlinear Schrödinger equation
- A bound on the decay of defect-defect correlation functions in two-dimensional complex order parameter equations
- Ginzburg-Landau models of nonlinear electric transmission networks
- Exact solutions for generalized variable-coefficients Ginzburg-Landau equation: application to Bose-Einstein condensates with multi-body interatomic interactions
- Water waves, nonlinear Schrödinger equations and their solutions
- On the evolution of packets of water waves
- The world of the complex Ginzburg-Landau equation
- Structure of a quantized vortex in boson systems
- A collective variable approach and stabilization for dispersion-managed optical solitons in the quintic complex Ginzburg–Landau equation as perturbations of the nonlinear Schrödinger equation
- Dynamic Scaling of Growing Interfaces
- Unstable Solutions of Nonautonomous Linear Differential Equations
- Pattern formation in the marginally unstable Ekman layer
- On the Stability of Radial Solutions to an Anisotropic Ginzburg--Landau Equation
- Turing and Benjamin–Feir instability mechanisms in non-autonomous systems
- Perturbation theory for Bose–Einstein condensates on bounded space domains
- Perturbations of dark solitons
- A Universal Asymptotic Regime in the Hyperbolic Nonlinear Schrödinger Equation
- The disintegration of wave trains on deep water Part 1. Theory
- Non-autonomous Ginzburg-Landau equation and its attractors
- Analytic soliton solutions of cubic‐quintic Ginzburg‐Landau equation with variable nonlinearity and spectral filtering in fiber lasers
- Spatio-temporal patterns of non-autonomous systems on hypergraphs: Turing and Benjamin–Feir mechanisms
- Dissipative light bullets in a doped and weakly nonlocal optical fiber
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