56 citations · 549 across the 34 of their papers we have counts for
Showing math.APShow all
3 papers · 1 filter
math.AP2025
Infinite-peakon solutions of the Camassa-Holm equation
Xiang-Ke Chang, Jonathan Eckhardt, Aleksey Kostenko
We study a class of (conservative) low regularity solutions to the Camassa-Holm equation on the line by exploiting the classical moment problem (in the framework of generalized ind…
math.AP2023
Long-time asymptotics for the Korteweg-de Vries equation with integrable reflectionless initial data
Jonathan Eckhardt
We show that solutions of the Korteweg-de Vries equation with reflectionless integrable initial data decompose into a (in general infinite) linear superposition of solitons after l…
math.AP2023
The conservative Camassa-Holm flow with step-like irregular initial data
Jonathan Eckhardt, Aleksey Kostenko
We extend the inverse spectral transform for the conservative Camassa-Holm flow on the line to a class of initial data that requires strong decay at one endpoint but only mild boun…