Invariant integrability criterion for equations of hydrodynamic type

DOI10.1007/BF02509552zbMath0872.35084arXivsolv-int/9407003OpenAlexW1971506273MaRDI QIDQ679494

Juan-Miguel Gracia

Publication date: 12 June 1997

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/solv-int/9407003

zbMATH Keywords

equations of hydrodynamic typehydrodynamic integrability

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (14)

Compatible metrics and the diagonalizability of nonlocally bi-Hamiltonian systems of hydrodynamic type ⋮ Pencils of compatible metrics and integrable systems ⋮ The Haantjes tensor and double waves for multi-dimensional systems of hydrodynamic type: a necessary condition for integrability ⋮ Nijenhuis geometry. III: \(\mathrm{gl}\)-regular Nijenhuis operators ⋮ Integrable hierarchies, Frölicher–Nijenhuis bicomplexes and Lauricella bi-flat F-manifolds ⋮ Algebraic-geometry approach to construction of semi-Hamiltonian systems of hydrodynamic type ⋮ Kinetic equation for a soliton gas and Its hydrodynamic reductions ⋮ Algebro-geometric approach in the theory of integrable hydrodynamic type systems ⋮ Left-symmetric algebras in hydrodynamics ⋮ A coordinate-free construction of conservation laws and reciprocal transformations for a class of integrable hydrodynamic-type systems ⋮ Differential-geometric approach to the integrability of hydrodynamic chains: the Haantjes tensor ⋮ Differential geometry of hydrodynamic Vlasov equations ⋮ Hydrodynamical chains of Pavlov class ⋮ Some nonlinear equations reducible to diffusion-type equations

Cites Work

• Hydrodynamics of weakly deformed soliton lattices. Differential geometry and Hamiltonian theory
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Invariant integrability criterion for equations of hydrodynamic type