A supersymmetric extension of the Toda lattice hierarchy

DOI10.1007/BF00402141zbMath0729.35131OpenAlexW2005719643MaRDI QIDQ5896562

Kaoru Ikeda

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1007/bf00402141

zbMATH Keywords

Toda latticeLie superalgebraRiemann-Hilbert decompositionsupersymmetric extension

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Superalgebras (17A70)

Related Items (8)

Fermionic one- and two-dimensional Toda lattice hierarchies and their bi-Hamiltonian structures ⋮ Integrable discretisations for a class of nonlinear Schrödinger equations on Grassmann algebras ⋮ Multi-component super integrable Hamiltonian hierarchies ⋮ Differential algebras and \({\mathcal D}\)-modules in super Toda lattice hierarchy ⋮ On construction of a super hierarchy of the Wadati-Konno-Ichikawa equation ⋮ Algebraic study on the super-KP hierarchy and the ortho-symplectic super- KP hierarchy ⋮ Fermionic flows and tau function of the \(N=(1| 1)\) superconformal Toda lattice hierarchy. ⋮ Hamiltonian structures of fermionic two-dimensional Toda lattice hierarchies

Cites Work

• Unnamed Item
• Solitons and infinite dimensional Lie algebras
• Supersymmetric two-dimensional Toda lattice
• Super-Kadomtsev-Petviashvili hierarchy and super-Grassmann manifold
• Lie superalgebras
• Lie superalgebras

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