35 citations · 125 across the 15 of their papers we have counts for
4 papers · 1 filter
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…
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…
Wave phenomena of the Toda lattice with steplike initial data
Johanna Michor
We give a survey of the long-time asymptotics for the Toda lattice with steplike constant initial data using the nonlinear steepest descent analysis and its extension based on a su…
On the spatial asymptotics of solutions of the Ablowitz-Ladik hierarchy
Johanna Michor
We show that for decaying solutions of the Ablowitz-Ladik system, the leading asymptotic term is time independent. In addition, two arbitrary bounded solutions of the Ablowitz-Ladi…