J. Henninger

collaborators

2 papers

math.AP2026

Rogue waves for semilinear wave equations

Julia Henninger

We study the semilinear wave equation $V (x) \partial_{t}^{2} u + d (t) M (x, \nabla_{x}) u = V ~ (x) d ~ (t) ∣ u ∣^{p - 1} u$ on $R^{N} \times R$ and show the existence…

math.AP2025

Breather solutions for semilinear wave equations

Julia Henninger, Sebastian Ohrem, Wolfgang Reichel

We prove existence of real-valued, time-periodic and spatially localized solutions (breathers) of semilinear wave equations $V (x) u_{tt} - u_{xx} = I^ (x) ∣ u ∣^{p - 1} u$ on $\mathbb{R}…