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Dynamical light control in longitudinally modulated segmented waveguide arrays
ongitudinally modulated segmented waveguide arrays Dynamical light
2011/7/7
We address light propagation in segmented waveguide arrays where the refractive index is longitudinally modulated with an out-of-phase modulation in adjacent waveguides, so that the coupling strength ...
Radially symmetric and azimuthally modulated vortex solitons supported by localized gain
Radially symmetric azimuthally modulated vortex solitons localized gain
2010/12/28
We discover that a spatially localized gain supports stable vortex solitons in media with cu-bic nonlinearity and two-photon absorption. The interplay between nonlinear losses and gain in amplifying r...
Modulated wave trains in generalized Kuramoto-Sivashinksi equations
modulation wave trains periodic travelling waves
2011/1/19
This paper is concerned with the stability of periodic wave trains in a generalized Kuramoto-Sivashinski (gKS) equation. This equation is useful to describe the weak instability of low frequency pertu...
Whitham's equations for modulated roll-waves in shallow flows
Whitham's equations modulated roll-waves
2010/11/15
This paper is concerned with the detailed behaviour of roll-waves undergoing a low-frequency perturbation. We rst derive the so-called Whitham's averaged modulation equations and relate the well-pose...
Regularity of the Attractor for the Dissipative Hamiltonian Amplitude Equation Governing Modulated Wave Instabilities
Regularity of Global attractor
2007/12/11
In the present paper, the existence of global attractor for dissipative Hamiltonian amplitude equation governing the modulated wave instabilities in E0 is considered. By a decomposition of solution op...
Modulated Amplitude Waves and the Transition from Phase to Defect Chaos
Modulated Amplitude Waves Defect Chaos
2010/11/2
The mechanism for transitions from phase to defect chaos in the one-dimensional complex Ginzburg-Landau equation (CGLE) is presented. We introduce and describe periodic coherent structures of the CGL...