A FORMAL INFINITE DIMENSIONAL CAUCHY PROBLEM AND ITS RELATION TO INTEGRABLE HIERARCHIES

DOI10.1142/9789814340458_0005zbMath1347.37115OpenAlexW2176753534MaRDI QIDQ3189743

A. O. Sergeeva, Elena A. Panasenko, Gerardus F. Helminck

Publication date: 12 September 2014

Published in: Quantized Algebra and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/9789814340458_0005

zbMATH Keywords

Lax equationszero curvature equationsinfinite-dimensional Cauchy problemwave matricesToda-type hierarchies

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 topology, geometry and differential geometry (37K25) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)

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