On the huge Lie superalgebra of pseudo-superdifferential operators and super KP-hierarchies

DOI10.1063/1.531587zbMath0863.58041OpenAlexW2029687709MaRDI QIDQ5284799

Moulay Brahim Sedra

Publication date: 3 June 1997

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

Full work available at URL: https://doi.org/10.1063/1.531587

zbMATH Keywords

Lie superalgebrasuper KP hierarchypseudo-superdifferential operators

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) Pseudodifferential and Fourier integral operators on manifolds (58J40) Supersymmetry and quantum mechanics (81Q60) Graded Lie (super)algebras (17B70)

Related Items (1)

Moyal noncommutative integrability and the Burgers--KdV mapping

Cites Work

• Loop groups and equations of KdV type
• A supersymmetric extension of the Kadomtsev-Petviashvili hierarchy
• HYPER-KÄHLER METRICS BUILDING AND INTEGRABLE MODELS
• INTEGRABILITY AND BIHAMILTONIAN STRUCTURE OF THE EVEN ORDER SKDV HIERARCHIES
• On the Gelfand–Dickey algebra GD(SLn) and the W n-symmetry. I. The bosonic case
• Integrals of nonlinear equations of evolution and solitary waves

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