Differential algebras and \({\mathcal D}\)-modules in super Toda lattice hierarchy

DOI10.1007/BF01039316zbMath0692.58008MaRDI QIDQ583671

Kanehisa Takasaki

Publication date: 1990

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

zbMATH Keywords

nonlinear systemsuper Grassmanniansuper KP hierarchysuper Toda lattice

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Quantum field theory on lattices (81T25) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Partial differential equations of mathematical physics and other areas of application (35Q99) Differential algebra (12H05) Analysis on supermanifolds or graded manifolds (58C50)

Related Items

The \(N=2\) supersymmetric Toda lattice hierarchy, SDiff(2) Toda equation --- hierarchy, tau function, and symmetries, A Note on Fermionic Flows of the N=(1|1) Supersymmetric Toda Lattice Hierarchy, Short story of the term “algebraic analysis”, The \(N=2\) supersymmetric Toda lattice hierarchy., Fermionic flows and tau function of the \(N=(1| 1)\) superconformal Toda lattice hierarchy.

Cites Work

• Symmetries of the super KP hierarchy
• A supersymmetric extension of the Kadomtsev-Petviashvili hierarchy
• Super-Kadomtsev-Petviashvili hierarchy and super-Grassmann manifold
• A supersymmetric extension of the Toda lattice hierarchy