Yan Rybalko

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20162026

most citedLong-time asymptotics for the integrable nonlocal nonlinear Schrödinger equation

65 citations · 204 across the 13 of their papers we have counts for

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math.AP2026

Riemann-Hilbert approach for the nonlocal modified Korteweg-de Vries equation with a step-like oscillating background

Yan Rybalko

This work focuses on the Cauchy problem for the nonlocal modified Korteweg-de Vries equation $u_{t} (x, t) + 6 u (x, t) u (- x, - t) u_{x} (x, t) + u_{xxx} (x, t) = 0,$ with the oscillating step-like b…