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math.AP2022
A Riemann-Hilbert approach to the modified Camassa-Holm equation with step-like boundary conditions
Iryna Karpenko, Dmitry Shepelsky, Gerald Teschl
The paper aims at developing the Riemann-Hilbert (RH) approach for the modified Camassa-Holm (mCH) equation on the line with non-zero boundary conditions, in the case when the solu…
math.AP2022
Soliton asymptotics for the KdV shock problem of low regularity
Iryna Egorova, Johanna Michor, Gerald Teschl
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…