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arXiv · 2610.28009

The ABC-equation revisited: missed (quasi) integrable cases. Part II: extensions and actions

I. S. Krasil'shchik
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Abstract

We continue here the study of the \textsc{ABC}-equation $Au_xu_{yt} + Bu_yu_{xt} + Cu_tu_{xy} = 0$, $A$, $B$, $C\in\mathbb{R}$ and using the results obtained in the first part construct new quasi-integrable structures and compute their actions on symmetries and cosymmetries.

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I. S. Krasil'shchik. 2026-10-20. The ABC-equation revisited: missed (quasi) integrable cases. Part II: extensions and actions. https://arxiv.org/abs/2610.28009

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