Showing math.APShow all
2 papers · 1 filter
math.AP2026
Long time asymptotics for the KPII equation
Derchyi Wu
The long-time asymptotics of small Kadomtsev-Petviashvili II (KPII) solutions is derived using the inverse scattering theory and the stationary phase method.
math.AP2024
Stability of Kadomtsev-Petviashvili multi-line solitons
Derchyi Wu
We prove the long-standing inverse scattering theory (IST) of perturbed Kadomtsev Petviashvili multi-line solitons. Our work is the first rigorous IST of a multi-dimensional integr…