2 papers
math.AP2026
Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations
Emile Bukieda, Björn de Rijk
We investigate the stability and asymptotic behavior of spatially periodic cnoidal waves in the Korteweg-de Vries equation subject to localized perturbations. Standard stability ar…
math.AP2025
Orbital stability of plane waves in the Klein-Gordon equation against localized perturbations
Emile Bukieda, Louis Garénaux, Björn de Rijk
We investigate the stability and long-term behavior of spatially periodic plane waves in the complex Klein-Gordon equation under localized perturbations. Such perturbations render…