7 citations · 24 across the 13 of their papers we have counts for
13 papers
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.
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…
Stability of KdV solitons
Derchyi Wu
We prove an orbital stability theorem of KdV -solitons with explicit phase shifts in the soliton region with cones around the -axis and lines determined by bound states of th…
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…
The direct scattering problem for perturbed Kadomtsev-Petviashvili multi line solitons
Derchyi Wu
Regular Kadomtsev-Petviashvili II (KPII) line solitons have been investigated and classified successfully by the Grassmannians. The inverse scattering method provides a promising a…
The direct scattering problem for the perturbed Kadomtsev-Petviashvili solitons
Derchyi Wu
Regular Kadomtsev-Petviashvili (KP) solitons have been investigated and classified successfully by the Grassmannian. We provide rigorous analysis for the direct scattering problem…