A class of differential systems connected with the theory of solitons

DOI10.1070/RM1986V041N03ABEH003372zbMath0614.58023OpenAlexW2062751558MaRDI QIDQ4721280

A. M. Vasil'ev

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1070/rm1986v041n03abeh003372

zbMATH Keywords

KdV equationKorteweg-de Vries equationcompletely integrabledifferential equations on differential forms

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Applications of Lie groups to the sciences; explicit representations (22E70) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Pseudogroups, differentiable groupoids and general structures on manifolds (58H99)

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Solitons and isometric immersions

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