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Traveling waves in the complex Ginzburg-Landau equation
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
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Slowly Varying Waves and Shock Structures in Reaction‐Diffusion Equations
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Global Bifurcations and Chaos
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Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
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Applications of Centre Manifold Theory
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Elliptic Functions and Applications
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Chemical Oscillations, Waves, and Turbulence
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Studies in Non-Linear Stability Theory
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Elliptic Functions and Applications
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The time dependent amplitude equation for the Swift-Hohenberg problem
inferredcites →https://doi.org/10.1007/bf02429847openalex-snapshot
On the validity of the Ginzburg-Landau equation
inferredcites →https://doi.org/10.1016/0022-0396(79)90152-9openalex-snapshot
Geometric singular perturbation theory for ordinary differential equations
inferredcites →https://doi.org/10.1016/0167-2789(85)90059-4openalex-snapshot
On the Eckhaus instability for spatially periodic patterns
inferredcites →https://doi.org/10.1016/0167-2789(86)90114-4openalex-snapshot
Spatial structure of time-periodic solutions of the Ginzburg-Landau equation
inferredcites →https://doi.org/10.1016/0167-2789(88)90026-7openalex-snapshot
Slowly varying fully nonlinear wavetrains in the Ginzburg-Landau equation
inferredcites →https://doi.org/10.1016/0167-2789(89)90060-2openalex-snapshot
Slow time-periodic solutions of the Ginzburg-Landau equation
inferredcites →https://doi.org/10.1016/0167-2789(90)90125-9openalex-snapshot
Induced trajectories and approximate inertial manifolds for the Ginzburg-Landau partial differential equation
inferredcites →https://doi.org/10.1016/0167-2789(90)90156-jopenalex-snapshot
On the possibility of soft and hard turbulence in the complex Ginzburg-Landau equation
inferredcites →https://doi.org/10.1016/0167-2789(91)90065-hopenalex-snapshot
Periodic and quasi-periodic solutions of degenerate modulation equations
inferredcites →https://doi.org/10.1016/0167-2789(92)90175-mopenalex-snapshot
Fronts, pulses, sources and sinks in generalized complex Ginzburg-Landau equations
inferredcites →https://doi.org/10.1016/0167-2789(92)90206-3openalex-snapshot
Heteroclinic cycles and modulated travelling waves in a system with D4 symmetry
inferredcites →https://doi.org/10.1016/0375-9601(85)90759-5openalex-snapshot
Formations of spatial patterns and holes in the generalized Ginzburg-Landau equation
inferredcites →https://doi.org/10.1017/s0022112069000176openalex-snapshot
Finite bandwidth, finite amplitude convection
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A non-linear instability theory for a wave system in plane Poiseuille flow
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Non-linear wave-number interaction in near-critical two-dimensional flows
inferredcites →https://doi.org/10.1017/s0022112090000799openalex-snapshot
Competing and coexisting dynamical states of travelling-wave convection in an annulus
inferredcites →https://doi.org/10.1051/jphys:019820043090130500openalex-snapshot
The thermal oscillatory instability in a homeotropic nematic : an inverse bifurcation
inferredcites →https://doi.org/10.1051/jphys:0198800490110182900openalex-snapshot
Localized structures generated by subcritical instabilities
inferredcites →https://doi.org/10.1088/0951-7715/1/2/001openalex-snapshot
Low-dimensional behaviour in the complex Ginzburg-Landau equation
inferredcites →https://doi.org/10.1090/qam/1218368openalex-snapshot
Stability of plane wave solutions of complex Ginzburg-Landau equations
inferredcites →https://doi.org/10.1098/rspa.1978.0118openalex-snapshot
The Eckhaus and Benjamin-Feir resonance mechanisms
inferredcites →https://doi.org/10.1098/rspa.1985.0120openalex-snapshot
Bounded solutions of the nonlinear parabolic amplitude equation for plane Poiseuille flow
inferredcites →https://doi.org/10.1103/physreva.27.1237openalex-snapshot
Phase dynamics for the wavy vortex state of the Taylor instability
inferredcites →https://doi.org/10.1103/physreva.37.860openalex-snapshot
Linear stability of experimental Soret convection
inferredcites →https://doi.org/10.1103/physrevlett.63.2801openalex-snapshot
Interaction of localized solutions for subcritical bifurcations
inferredcites →https://doi.org/10.1143/jpsj.53.1581openalex-snapshot
Exact Solutions of the Generalized Ginzburg-Landau Equation
inferredcites →https://doi.org/10.1209/0295-5075/6/6/006openalex-snapshot
The Effect of Spatial Modulations on Codimension-2 Bifurcations
inferredcites →https://doi.org/10.1209/0295-5075/8/1/008openalex-snapshot
Multicritical Behaviour in Binary Fluid Convection
inferredcites →https://doi.org/10.21236/ada074052openalex-snapshot
Applications of Centre Manifold Theory.
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1006/jdeq.1999.3675openalex-snapshot
Bifurcation of Homoclinic Orbits to a Saddle-Focus in Reversible Systems with SO(2)-Symmetry
inferred← citeshttps://doi.org/10.1006/jdeq.2001.4046openalex-snapshot
Multipulse-Like Orbits for a Singularly Perturbed Nearly Integrable System
inferred← citeshttps://doi.org/10.1007/bf00916827openalex-snapshot
Spatial dynamics of time periodic solutions for the Ginzburg-Landau equation
inferred← citeshttps://doi.org/10.1007/bf02678142openalex-snapshot
Singularly Perturbed and Nonlocal Modulation Equations for Systems with Interacting Instability Mechanisms
inferred← citeshttps://doi.org/10.1007/s11071-014-1686-5openalex-snapshot
Pulses and snakes in Ginzburg–Landau equation
inferred← citeshttps://doi.org/10.1007/s11071-015-2077-2openalex-snapshot
Two-dimensional structures in the quintic Ginzburg–Landau equation
inferred← citeshttps://doi.org/10.1007/s11071-017-3924-0openalex-snapshot
A construction of new exact periodic wave and solitary wave solutions for the 2D Ginzburg–Landau equation
inferred← citeshttps://doi.org/10.1007/s11232-007-0099-8openalex-snapshot
A novel variational approach to pulsating solitons in the cubic-quintic Ginzburg-Landau equation
inferred← citeshttps://doi.org/10.1007/s12043-016-1244-4openalex-snapshot
A generic travelling wave solution in dissipative laser cavity
inferred← citeshttps://doi.org/10.1007/s12346-017-0264-xopenalex-snapshot
Traveling Fronts of a Real Supercritical Ginzburg–Landau Equation Coupled by a Slow Diffusion
inferred← citeshttps://doi.org/10.1007/s12346-026-01608-8openalex-snapshot
Bifurcations and Exact Solutions in the Complex Ginzburg–Landau Equations: Dynamical System Approach
inferred← citeshttps://doi.org/10.1016/0167-2789(94)00223-dopenalex-snapshot
Singular heteroclinic orbits for degenerate modulation equations
inferred← citeshttps://doi.org/10.1016/0167-2789(95)00303-7openalex-snapshot
Breaking the hidden symmetry in the Ginzburg-Landau equation
inferred← citeshttps://doi.org/10.1016/j.chaos.2005.01.058openalex-snapshot
A novel analytic technique for the disintegration of coherent structure solutions of non-integrable and integrable nonlinear PDEs under forcing
inferred← citeshttps://doi.org/10.1016/j.chaos.2005.04.098openalex-snapshot
Bifurcations and competing coherent structures in the cubic-quintic Ginzburg–Landau equation I: Plane wave (CW) solutions
inferred← citeshttps://doi.org/10.1016/j.chaos.2005.08.080openalex-snapshot
Traveling wavetrains in the complex cubic–quintic Ginzburg–Landau equation
inferred← citeshttps://doi.org/10.1016/j.chaos.2007.07.046openalex-snapshot
Spatiotemporal structure of pulsating solitons in the cubic–quintic Ginzburg–Landau equation: A novel variational formulation
inferred← citeshttps://doi.org/10.1016/j.ijleo.2022.169800openalex-snapshot
On the examination of optical soliton pulses of Manakov system with auxiliary equation technique
inferred← citeshttps://doi.org/10.1016/j.matcom.2006.10.009openalex-snapshot
Bifurcations of plane wave (CW) solutions in the complex cubic–quintic Ginzburg–Landau equation
inferred← citeshttps://doi.org/10.1016/j.matcom.2006.10.022openalex-snapshot
The complex cubic–quintic Ginzburg–Landau equation: Hopf bifurcations yielding traveling waves
inferred← citeshttps://doi.org/10.1016/j.matcom.2009.06.017openalex-snapshot
Snake solitons in the cubic–quintic Ginzburg–Landau equation
inferred← citeshttps://doi.org/10.1016/j.na.2014.03.001openalex-snapshot
Standing waves of the complex Ginzburg–Landau equation
inferred← citeshttps://doi.org/10.1016/j.physd.2025.134610openalex-snapshot
Phase synchronisation in coupled oscillator chains with endpoint heterogeneity
inferred← citeshttps://doi.org/10.1016/j.rinp.2019.102888openalex-snapshot
Optical solitons with differential group delay for complex Ginzburg–Landau equation
inferred← citeshttps://doi.org/10.1016/s1874-575x(02)80036-4openalex-snapshot
The Ginzburg-Landau Equation in Its Role as a Modulation Equation
inferred← citeshttps://doi.org/10.1017/s0013091500006210openalex-snapshot
Fronts, domain walls and pulses in a generalized Ginzburg-Landau equation
inferred← citeshttps://doi.org/10.1017/s0308210500032649openalex-snapshot
Instability of quasiperiodic solutions of the Ginzburg–Landau equation
inferred← citeshttps://doi.org/10.1063/1.166032openalex-snapshot
Spatiotemporal chaos in an electric current driven ionic reaction-diffusion system
inferred← citeshttps://doi.org/10.1063/1.532914openalex-snapshot
Invariant Painlevé analysis and coherent structures of two families of reaction-diffusion equations
inferred← citeshttps://doi.org/10.1088/0951-7715/13/1/305openalex-snapshot
Existence and stability of standing hole solutions to complex Ginzburg-Landau equations
inferred← citeshttps://doi.org/10.1088/1402-4896/abd2dfopenalex-snapshot
Ginzburg Landau equation's Innovative Solution (GLEIS)
inferred← citeshttps://doi.org/10.1090/qam/1770649openalex-snapshot
Spatial heteroclinic bifurcation of time periodic solutions to the Ginzburg-Landau equation
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Homoclinic explosions and implosions
inferred← citeshttps://doi.org/10.1111/sapm.70140openalex-snapshot
Pattern Formation and Nonlinear Waves Close to a 1:1 Resonant Turing and Turing–Hopf Instability
inferred← citeshttps://doi.org/10.1142/s0217979220500794openalex-snapshot
Application of bifurcation method and rational sine-Gordon expansion method for solving 2D complex Ginzburg–Landau equation
inferred← citeshttps://doi.org/10.1142/s0218127498000218openalex-snapshot
Homoclinic and Heteroclinic Bifurcations Close to a Twisted Heteroclinic Cycle
inferred← citeshttps://doi.org/10.1142/s0219530514500419openalex-snapshot
Bifurcation to traveling waves in the cubic–quintic complex Ginzburg–Landau equation
inferred← citeshttps://doi.org/10.1238/physica.regular.062a00156openalex-snapshot
Invariant Painlevé Analysis and Coherent Structures of Long-wave Equations
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Новый вариационный подход к пульсирующим солитонам в уравнении Гинзбурга - Ландау для потенциала в виде кубики - квинтики
inferred← citeshttps://doi.org/10.4236/am.2021.127043openalex-snapshot
Traveling Wave Solutions of the Quintic Complex One-Dimensional Ginzburg-Landau Equation
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Degenerate elliptic solutions of the quintic complex one-dimensional Ginzburg-Landau equation
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