3 papers
math.AP2025
Large data global well-posedness for the modified Novikov-Veselov system
Adrian Nachman, Peter Perry, Daniel Tataru
The modified Novikov-Veselov system (mNV) is a cubic third order dispersive evolution in two space dimensions. It is also completely integrable, belonging to the same hierarchy as…
math.AP2025
The modified Novikov-Veslov Equation and the Inverse Scattering Transform
Peter A. Perry
This paper corrects several errors in the author's previous papers (Journal of Spectral Theory 2016, Analysis and PDE 2014) on the Davey-Stewartson II (DS II) and modified Novikov-…
math.AP2025
Large-Time Asymptotics for the Kadomtsev-Petviashvili I Equation
Samir Donmazov, Jiaqi Liu, Peter Perry
We prove large time asymptotics for solutions of the KP I equation with small initial data. Our assumptions on the initial data rule out lump solutions but give a precise descripti…