Negative Hierarchy of Hydrodynamic Type Equations
Kostyantyn Zheltukhin
TL;DR
This paper explores the negative integrable hierarchies related to shallow water waves and Toda lattice equations, demonstrating their integrability through explicit conservation laws.
Contribution
It introduces the negative hierarchies of hydrodynamic type equations and proves their integrability with an explicit construction of conservation laws.
Findings
Negative hierarchies of shallow water wave equations are integrable.
Explicit conservation laws are constructed for these hierarchies.
The work extends understanding of dispersionless integrable systems.
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.