Michael Plum

activity

20122023

most citedOn the spectrum of waveguides in planar photonic bandgap structures

2 citations · 3 across the 5 of their papers we have counts for

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3 papers · 1 filter

math.AP2023★ 1 cited

Dynamics of the black soliton in a regularized nonlinear Schrodinger equation

Dmitry E. Pelinovsky, Michael Plum

We consider a family of regularized defocusing nonlinear Schrodinger (NLS) equations proposed in the context of the cubic NLS equation with a bounded dispersion relation. The time…

math.AP2016

A breather construction for a semilinear curl-curl wave equation with radially symmetric coefficients

Michael Plum, Wolfgang Reichel

We consider the semilinear curl-curl wave equation $s(x) \partial_t^2 U +\nabla\times\nabla\times U + q(x) U \pm V(x) |U|^{p-1} U = 0 \mbox{ for } (x,t)\in \mathbb{R}^3\times\mathb…

math.AP2014

Ground States of a Nonlinear Curl-Curl Problem in Cylindrically Symmetric Media

Thomas Bartsch, Tomáš Dohnal, Michael Plum +1

We consider the nonlinear curl-curl problem $\nabla \times \nabla \times U + V (x) U = Γ (x) ∣ U ∣^{p - 1} U$ in $R^{3}$ related to the nonlinear Maxwell equations for monochromatic fie…