Classification of integrable hydrodynamic chains and generating functions of conservation laws

Abstract

New approach to classification of integrable hydrodynamic chains is established. Generating functions of conservation laws are classified by the method of hydrodynamic reductions. N parametric family of explicit hydrodynamic reductions allows to reconstruct corresponding hydrodynamic chains. Plenty new hydrodynamic chains are found.

References in corpus (2)

• The Hamiltonian approach in classification and integrability of hydrodynamic chains
• The Kupershmidt hydrodynamic chains and lattices

Cited by in corpus (5)

• Integrability of the Manakov--Santini hierarchy
• Differential Geometry of Hydrodynamic Vlasov Equations
• Classification of integrable Vlasov-type equations
• Integrable pseudopotentials related to elliptic curves
• Integrable hydrodynamic chains associated with Dorfman Poisson brackets