Cnoidal waves of KdV are nonlinearly modulationally stable under localized H^3 perturbations, the first such result for non-reducible periodic waves in Hamiltonian systems.
Orbital stability of the black soliton for the quintic Gross-Pitaevskii equation
1 Pith paper cite this work, alongside 3 external citations. Polarity classification is still indexing.
1
Pith paper citing it
3
external citations · OpenAlex
fields
math.AP 1years
2026 1verdicts
ACCEPT 1representative citing papers
citing papers explorer
-
Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations
Cnoidal waves of KdV are nonlinearly modulationally stable under localized H^3 perturbations, the first such result for non-reducible periodic waves in Hamiltonian systems.