A. Rybkin

activity

20102026

most citedThe boundary control approach to the Titchmarsh-Weyl

m -

function

44 citations · 151 across the 23 of their papers we have counts for

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math.SP2014★ 9 cited

The inverse scattering transform for the KdV equation with step-like singular Miura initial profiles

Sergei Grudsky, Christian Remling, Alexei Rybkin

We develop the inverse scattering transform for the KdV equation with real singular initial data $q (x)$ of the form $q (x) = r^{'} (x) + r (x)^{2}$ , where $r \in L_{loc}^{2}$ and $r=…

math.SP2011

A Haar-type Approximation and a New Numerical Schema for the Korteweg-de Vries Equation

Jason Baggett, Odile Bastille, Alexei Rybkin

We discuss a new numerical schema for solving the initial value problem for the Korteweg-de Vries equation for large times. Our approach is based upon the Inverse Scattering Transf…