Negative Hierarchy of Hydrodynamic Type Equations

Kostyantyn Zheltukhin

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arXiv · 2605.02595

Negative Hierarchy of Hydrodynamic Type Equations

Kostyantyn Zheltukhin

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Abstract

The negative integrable hierarchies of shallow water waves and dispersionless Toda lattice equations are considered. The integrability is shown by explicit construction of an infinite set of conservation laws.

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Kostyantyn Zheltukhin. 2026-05-04. Negative Hierarchy of Hydrodynamic Type Equations. https://arxiv.org/abs/2605.02595

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