A Hamiltonian structure of evolution in the space variablexfor the Korteweg-de Vries equation

DOI10.1070/RM1990v045n01ABEH002332zbMath0703.35154OpenAlexW1994854346MaRDI QIDQ3482251

Oleg I. Mokhov

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1070/rm1990v045n01abeh002332

zbMATH Keywords

Hamiltonian structurePoisson bracketsLie algebras

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) 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)

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