35 citations · 125 across the 15 of their papers we have counts for
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math-ph2020★ 2 cited
How Discrete Spectrum and Resonances Influence the Asymptotics of the Toda Shock Wave
Iryna Egorova, Johanna Michor
We rigorously derive the long-time asymptotics of the Toda shock wave in a middle region where the solution is asymptotically finite gap. In particular, we describe the influence o…
math-ph2020
Long-time asymptotics for Toda shock waves in the modulation region
Iryna Egorova, Johanna Michor, Anton Pryimak +1
We show that Toda shock waves are asymptotically close to a modulated finite gap solution in the region separating the soliton and the elliptic wave regions. We previously derived…