On a generalization of the Trèves criterion for the first integrals of the KdV hierarchy to higher GD hierarchies

DOI10.1023/B:MATH.0000010671.37908.47zbMath1042.37050OpenAlexW2048000099MaRDI QIDQ1431324

L. A. Dickey

Publication date: 27 May 2004

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

Full work available at URL: https://doi.org/10.1023/b:math.0000010671.37908.47

zbMATH Keywords

Korteweg-de Vries equationfirst integralsintegrable hierarchiesTrèves criterion

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) Moduli and deformations for ordinary differential equations (e.g., Knizhnik-Zamolodchikov equation) (32G34)

Related Items (4)

On a theorem by Treves ⋮ On the Treves theorem for the Ablowitz–Kaup–Newell–Segur equation ⋮ A new proof of the Treves theorem for the KdV hierarchy. ⋮ Boussinesq hierarchy and bi-Hamiltonian geometry

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