J. Henninger

collaborators

3 papers

math.AP2026

Homoclinics, rogue waves and breathers in nonlinear lattice wave equations

Julia Henninger, Wolfgang Reichel

We prove the existence of rogue waves and breathers in nonlinear lattice wave equations including the nonlinear Klein--Gordon and the FPUT lattice (with added local forces). The ma…

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 $V (x) u_{tt} - u_{xx} = Γ (x) ∣ u ∣^{p - 1} u$ on $\mathbb{R}^…