2 papers
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…
math-ph2018
The parametrix problem for Toda equation with steplike initial data
Anton Pryimak
This paper is a continuation of arXiv:17.01.02867. We give here rigorous solution of the parametrix problem for Toda rarefaction problem and complete asymptotic analysis, justifyin…