An explicit expression for the Korteweg-de Vries hierarchy

DOI10.1007/BF00994651zbMath0829.35115OpenAlexW3021692568MaRDI QIDQ5917679

Rainer Schimming

Publication date: 27 August 1995

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

Full work available at URL: https://doi.org/10.1007/bf00994651

zbMATH Keywords

differential polynomialexplicit expression for the right-hand side of the KdV hierarchy

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) Rings of differential operators (associative algebraic aspects) (16S32)

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Set partitions and integrable hierarchies, Higher-order heat equation and the Gelfand-Dickey hierarchy, Explicit formulae for the powers of a Schrödinger-like ordinary differential operator. II., A formula for the powers of fractional order operators, Huygens' principle for hyperbolic operators and integrable hierarchies, Differential polynomial expressions related to the Kadomtsev–Petviashvili and Korteweg–de Vries hierarchies, An Alternative Approach to Algebro-Geometric Solutions of the AKNS Hierarchy, Finite heat kernel expansions on the real line

Cites Work

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• The spectrum of Hill's equation
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• Integrals of nonlinear equations of evolution and solitary waves
• Some Properties of the Eigenfunctions of The Laplace-Operator on Riemannian Manifolds
• An explicit expression for the Korteweg-de Vries hierarchy