4 citations · 4 across the 6 of their papers we have counts for
Showing math.APShow all
2 papers · 1 filter
math.AP2026
Direct Scattering for the KdV Equation with a Step-like Finite-Gap Potential: A Riemann--Hilbert Approach
Xiaodong Zhu
We develop the direct scattering theory for the KdV equation with step-like finite-gap backgrounds under perturbations. More precisely, we consider initial data that asymptotically…
math.AP2025
Long-time asymptotics of the good Boussinesq equation and its modified version: Painlevé region
Deng-Shan Wang, Xiaodong Zhu
Under suitable solitonless assumptions on the associated scattering data, we rigorously establish the long-time asymptotics of the modified Boussinesq equation in the Painlevé regi…