Soliton asymptotics for the KdV shock problem of low regularity

preprint2022arXivOpen access

Abstract

We revisit the asymptotic analysis of the KdV shock problem in the soliton region. Our approach is based on the analysis of the associated Riemann-Hilbert problem and we extend the domain of validity of the asymptotic formulas while at the same time requiring less decay and smoothness for the initial data.

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