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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Showing 2026 · math.APShow all

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math.AP2026

The Short Wave equation on the half-line by the Unified Transform Method

Iryna Karpenko, Dmitry Shepelsky, Ilona Tylevna

We study the initial-boundary value problem for the Short Wave equation on the half-line $x \geq 0$ . A distinctive feature of this problem is that the boundary $x = 0$ cannot be charac…

math.AP2026

The sine Gordon equation in light-cone coordinates on the half lines revisited: a Riemann--Hilbert approach

Iryna Karpenko

In this work, we study the initial boundary value (IBV) problems for the sine-Gordon (sG) equation in the light-cone coordinates $u_{x t} = sin u$ in the quarter planes $x > 0$ , $t > 0$ …