3 papers
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…
nlin.SI2024
The inverse scattering theory of Kadomtsev-Petviashvili II equations
Derchyi Wu
An overview of the inverse scattering theory of the Kadomtsev Petviashvili II equation with an emphasis on the inverse problem for perturbed KP multi line solitons is provided. It…