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arXiv · 2202.08507

Soliton asymptotics for the KdV shock problem of low regularity

Iryna Egorova·Johanna Michor·Gerald Teschl
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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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Iryna Egorova, Johanna Michor, Gerald Teschl. 2022-02-17. Soliton asymptotics for the KdV shock problem of low regularity. https://arxiv.org/abs/2202.08507

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