Long-time asymptotics for Toda shock waves in the modulation region

We show that a Toda shock wave is asymptotically close to a modulated finite gap solution in the right modulation region. We previously derived formulas for the leading terms of the asymptotic expansion of this shock wave in all five principal regions and conjectured that in two modulation regions t...

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Bibliographic Details
Date:2023
Main Authors: Egorova, Iryna, Michor, Johanna, Pryimak, Anton, Teschl, Gerald
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна Національної академії наук України 2023
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Online Access:https://jmag.ilt.kharkiv.ua/index.php/jmag/article/view/1013
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Journal Title:Journal of Mathematical Physics, Analysis, Geometry

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Journal of Mathematical Physics, Analysis, Geometry