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math.AP2021
Validity of Whitham's modulation equations for dissipative systems with a conservation law -- Phase dynamics in a generalized Ginzburg-Landau system --
Tobias Haas, Björn de Rijk, Guido Schneider
It is well-established that Whitham's modulation equations approximate the dynamics of slowly varying periodic wave trains in dispersive systems. We are interested in its validity…
math.AP2018★ 5 cited
Modulation equations near the Eckhaus boundary: the KdV equation
Tobias Haas, Björn de Rijk, Guido Schneider
We are interested in the description of small modulations in time and space of wave-train solutions to the complex Ginzburg-Landau equation \begin{align*} \partial_T Ψ= (1+ i α) \p…