Algebro-geometric approach in the theory of integrable hydrodynamic type systems

DOI10.1007/s00220-007-0235-1zbMath1131.37065arXivnlin/0603054OpenAlexW3106238393MaRDI QIDQ2466816

Maxim P. Pavlov

Publication date: 16 January 2008

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0603054

zbMATH Keywords

systems of hydrodynamic typehodograph methodintegrable hydrodynamic chains

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)

Related Items (11)

Integrable elliptic pseudopotentials ⋮ Reductions of kinetic equations to finite component systems ⋮ Multi-variable reductions of the dispersionless DKP hierarchy ⋮ Kinetic equation for a soliton gas and Its hydrodynamic reductions ⋮ Classification of integrable Vlasov-type equations ⋮ Hydrodynamic-type systems describing 2-dimensional polynomially integrable geodesic flows ⋮ Löwner evolution and finite-dimensional reductions of integrable systems ⋮ Integrable pseudopotentials related to generalized hypergeometric functions ⋮ Integrable \((2+1)\)-dimensional systems of hydrodynamic type ⋮ The Russo-Smereka kinetic equation: conservation laws, reductions and numerical solutions ⋮ Grothendieck’s dessins d’enfants in a web of dualities. III

Cites Work

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