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The Painlevé-region conjecture for the Sawada–Kotera equation
Let the Sawada–Kotera (SK) equation and modified Sawada–Kotera (mSK) equation be considered in their long-time asymptotic regimes, and let $x=0$ denote the central spatial region.…
Conjectureopenlong-time-asymptotics painleve-equations sawada-kotera-equationarXiv posted 2 days ago
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The collisionless shock region conjecture for the Sawada–Kotera equation
Let the Sawada–Kotera (SK) equation be considered in its long-time asymptotic decomposition into a dispersive wave region and a Painlevé region. A reflection coefficient $r(k)$ des…
Conjectureopenintegrable-systems long-time-asymptotics sawada-kotera-equationarXiv posted 2 days ago

The Painlevé-region conjecture for the Sawada–Kotera equation