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20072025
most citedCoupled-mode equations and gap solitons in a two-dimensional nonlinear elliptic problem with a separable periodic potential

25 citations · 122 across the 23 of their papers we have counts for

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Showing 2023 · math.APShow all

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math.AP2023

Traveling modulating pulse solutions with small tails for a nonlinear wave equation in periodic media

Tomas Dohnal, Dmitry E. Pelinovsky, Guido Schneider

Traveling modulating pulse solutions consist of a small amplitude pulse-like envelope moving with a constant speed and modulating a harmonic carrier wave. Such solutions can be app…

math.AP2023★ 8 cited

Well-Posedness and Exponential Stability of Nonlinear Maxwell Equations for Dispersive Materials with Interface

Tomáš Dohnal, Mathias Ionescu-Tira, Marcus Waurick

In this paper we consider an abstract Cauchy problem for a Maxwell system modelling electromagnetic fields in the presence of an interface between optical media. The electric polar…