Super Hamiltonian operators and Lie superalgebras

DOI10.1016/0019-3577(90)90006-9zbMath0714.58050OpenAlexW4205543108MaRDI QIDQ750988

H. G. J. Pijls, E. D. van der Lende

Publication date: 1990

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0019-3577(90)90006-9

zbMATH Keywords

calculus of variationsLie superalgebraGrassmann algebracovariant derivativeLax formalismsuper Hamiltonian operatorsupercommutes

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Superalgebras (17A70) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Cites Work

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• An algebraic model of graded calculus of variations
• Supersymmetric extension of the Korteweg–de Vries equation
• ASYMPTOTIC BEHAVIOUR OF THE RESOLVENT OF STURM-LIOUVILLE EQUATIONS AND THE ALGEBRA OF THE KORTEWEG-DE VRIES EQUATIONS

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