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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…