Spatiotemporal structure of pulsating solitons in the cubic-quintic Ginzburg-Landau equation: A novel variational formulation
type: Item
instance of: scholarly article
title: Spatiotemporal structure of pulsating solitons in the cubic-quintic Ginzburg-Landau equation: A novel variational formulation
zbMATH Open document ID: 1197.37097
author: Stefan C. Mancas
author: S. Roy Choudhury
published in: Chaos, Solitons and Fractals
publication date: 2010-10-31T00:00:00Z
Mathematics Subject Classification ID: 37L10
Mathematics Subject Classification ID: 35Q56
zbMATH DE Number: 5808873
MaRDI profile type: Publication
full work available at URL: j.chaos.2007.07.046
OpenAlex ID: W2004396293
cites work: Q3961178
cites work: Q3896709
cites work: The world of the complex Ginzburg-Landau equation
cites work: Modulated amplitude waves and defect formation in the one-dimensional complex Ginzburg-Landau equation
cites work: Dynamics of Perturbed Wavetrain Solutions to the Ginzburg-Landau Equation
cites work: Solutions of the Ginzburg-Landau Equation of Interest in Shear Flow Transition
cites work: Instabilities of the Ginzburg-Landau equation: periodic solutions
cites work: Instabilities of the Ginzburg-Landau equation. II. Secondary bifurcation
cites work: Fronts, pulses, sources and sinks in generalized complex Ginzburg-Landau equations
cites work: Sources, sinks and wavenumber selection in coupled CGL equations and experimental implications for counter-propagating wave systems
cites work: Spatial structure of time-periodic solutions of the Ginzburg-Landau equation
cites work: Traveling waves in the complex Ginzburg-Landau equation
cites work: Periodic and quasi-periodic solutions of degenerate modulation equations
cites work: Fronts, domain walls and pulses in a generalized Ginzburg-Landau equation
cites work: Slow time-periodic solutions of the Ginzburg-Landau equation
cites work: Q3994822
cites work: Q3994920
cites work: The variational principle for nonlinear waves in dissipative systems
cites work: Exact solutions of generalized Zakharov and Ginzburg-Landau equations
cites work: Spatio-temporal chaotic synchronization for modes coupled two Ginzburg-Landau equations
cites work: Resonant and nonresonant patterns in forced oscillators
cites work: Ginzburg-Landau equations and first and second order phase transitions
cites work: Pulse solutions of the modified cubic complex Ginzburg–Landau equation
cites work: Psi-series solution of fractional Ginzburg–Landau equation
cites work: Q5483219
cites work: Traveling wavetrains in the complex cubic-quintic Ginzburg-Landau equation
cites work: Bifurcations and competing coherent structures in the cubic-quintic Ginzburg--Landau equation. I: Plane wave (CW) solutions
cites work: Q5465079
cites work: Q3769640
cites work: Q5457362
cites work: Q4885523
cites work: Q3698193
DOI: 10.1016/J.CHAOS.2007.07.046
description: scientific article; zbMATH DE number 5808873