M. Plum

activity

19982026

most citedA Computer-Assisted Uniqueness Proof for a Semilinear Elliptic Boundary Value Problem

12 citations · 14 across the 13 of their papers we have counts for

collaborators

Showing 2022Show all

2 papers · 1 filter

math.AP2022

Breathers and rogue waves for semilinear curl-curl wave equations

Michael Plum, Wolfgang Reichel

We consider localized solutions of variants of the semilinear curl-curl wave equation $s (x) \partial_{t}^{2} U + \nabla \times \nabla \times U + q (x) U \pm V (x) ∣ U ∣^{p - 1} U = 0$ for $(x,t)…

math.AP2022

Stability of black solitons in optical systems with intensity-dependent dispersion

Dmitry E. Pelinovsky, Michael Plum

Black solitons are identical in the nonlinear Schrödinger (NLS) equation with intensity-dependent dispersion and the cubic defocusing NLS equation. We prove that the intensity-depe…