I. Karpenko

activity

20192026

most citedA Riemann-Hilbert approach to the modified Camassa-Holm equation with nonzero boundary conditions

29 citations · 39 across the 6 of their papers we have counts for

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2 papers · 1 filter

math.AP2025

The modified Camassa-Holm equation on the half line: a Riemann--Hilbert approach

Iryna Karpenko, Dmitry Shepelsky

We consider the initial-boundary value (IBV) problem for the modified Camassa--Holm (mCH) equation $m ~_{t} + ((u ~^{2} - u ~_{x}^{2} + 2 u ~) m ~)_{x} = 0$ , $\t…

math.AP2025

The periodic Camassa-Holm equation by the Riemann-Hilbert problem approach

Anne Boutet de Monvel, Iryna Karpenko, Dmitry Shepelsky +1

This work addresses the development of the Riemann-Hilbert problem (RHP) formalism (the Fokas method) for the Camassa-Holm equation under periodic boundary conditions. Particularly…