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math.AP2025
Dynamics of the Drinfeld-Sokolov-Wilson system: well-posedness and (in)stability of the traveling waves
Ognyan Christov, Sevdzhan Hakkaev, Seungly Oh +1
We analyze the Drinfeld-Sokolob-Wilson system, which features a dispersive, KdV type evolution with a dispersionless conservation law. We establish well-posedness with low regulari…
math.AP2012
Resonant phase-shift and global smoothing of the periodic Korteweg-de Vries in low regularity settings
Seungly Oh
We show a smoothing effect of near full derivative for low-regularity global-in-time solutions of the periodic Korteweg-de Vries (KdV) equation. The smoothing is given by slightly…