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nlin.PS2026
Reduced wave number dynamics in the real and complex Ginzburg-Landau equations
Yijun Lin, Adrian van Kan, Edgar Knobloch
We study large-scale dynamics in the Ginzburg-Landau equation (GLE) using a reduced description derived from a WKB expansion. Rigorous mathematical results establishing that this r…
nlin.PS2024★ 1 cited
Emergence of rogue-like waves in a reaction-diffusion system: Stochastic output from deterministic dissipative dynamics
Edgar Knobloch, Arik Yochelis
Rogue waves are an intriguing nonlinear phenomenon arising across different scales, ranging from ocean waves through optics to Bose-Einstein condensates. We describe the emergence…
nlin.PS2023
Bifurcation delay and front propagation in the real Ginzburg-Landau equation on a time-dependent domain
Troy Tsubota, Chang Liu, Benjamin Foster +1
This work analyzes bifurcation delay and front propagation in the one-dimensional real Ginzburg-Landau equation (RGLE) with periodic boundary conditions on monotonically growing or…