Negative Hierarchy of Hydrodynamic Type Equations

2026/05/04 by Kostyantyn Zheltukhin · 1 voice
Physics and Astronomy · #nlin.SI

paper · pdf

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.

Citations

• (2+1)-Dimensional Local and Nonlocal Reductions of the Negative AKNS System: Soliton Solutions
• 2+1 KdV(N) Equations
• KdV6: An Integrable System
• A new integrable generalization of the Korteweg - de Vries equation
• Classical r-Matrices and Compatible Poisson Structures for Lax Equations on Poisson Algebras
• Recursion Operator and Rational Lax Representation
• Recursion Operators of Some Equations of Hydrodynamic Type
• On Construction of Recursion Operators From Lax Representation

Discussions

• Kostyantyn Zheltukhin: Negative Hierarchy of Hydrodynamic Type Equations https://arxiv.org/abs/2605.02595 https://arxiv.org/pdf/2605.02595 https://arxiv.org/html/2605.02595 [bsky, 0 points, 0 comments]

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