Complete Integrability of a New Class of Hamiltonian Hydrodynamic Type Systems
Zakhar V. Makridin, Maxim V. Pavlov
TL;DR
This paper introduces a new class of Hamiltonian hydrodynamic systems with polynomial conservation laws, demonstrating their complete integrability and expanding the understanding of such systems in mathematical physics.
Contribution
The paper establishes the complete integrability of a novel class of Hamiltonian hydrodynamic systems characterized by polynomial conservation laws.
Findings
Demonstrated complete integrability of the new systems
Characterized the polynomial conservation laws
Extended the class of known integrable hydrodynamic systems
Abstract
In this paper we consider a new class of Hamiltonian hydrodynamic type systems, whose conservation laws are polynomial with respect to one of field variables.
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