Integrable bi-Hamiltonian hierarchies generated by compatible metrics of constant Riemannian curvature

DOI10.1070/RM2002v057n05ABEH000563zbMath1042.37530WikidataQ115323780 ScholiaQ115323780MaRDI QIDQ4469852

Oleg I. Mokhov

Publication date: 22 June 2004

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

zbMATH Keywords

integrabilitysystems of hydrodynamic typeinverse scattering method

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Local Riemannian geometry (53B20)

Related Items (2)

Compatible metrics and the diagonalizability of nonlocally bi-Hamiltonian systems of hydrodynamic type ⋮ Pencils of compatible metrics and integrable systems

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