On the geometry of soliton equations

DOI10.1007/BF00996115zbMath0842.58048OpenAlexW3146423266MaRDI QIDQ1903565

Franco Magri

Publication date: 12 August 1996

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00996115

zbMATH Keywords

survey paperKorteweg-de Vries equationCasimir functionsoliton equationsbi-Hamiltonian function

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (max. 100)

Equivalence of the Drinfeld-Sokolov reduction to a bi-Hamiltonian reduction ⋮ Integrability of and differential-algebraic structures for spatially 1D hydrodynamical systems of Riemann type ⋮ A geometrical approach to quantum holonomic computing algorithms ⋮ Lax-type flows on Grassmann manifolds and dual momentum mappings ⋮ Kronecker webs, bihamiltonian structures, and the method of argument translation ⋮ Versal Deformations of a Dirac Type Differential Operator

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Lie algebras and equations of Korteweg-de Vries type
• Reduction of Poisson manifolds
• POISSON-NIJENHUIS STRUCTURES AND SATO HIERARCHY

This page was built for publication: On the geometry of soliton equations