Lax Integrable Supersymmetric Hierarchies on Extented Phase Spaces
Exactly Solvable and Integrable Systems
2008-04-24 v1 Mathematical Physics
math.MP
Abstract
We obtain via B\"acklund transformation the Hamiltonian representation for a Lax type nonlinear dynamical system hierarchy on a dual space to the Lie algebra of super-integral-differential operators of one anticommuting variable, extended by evolutions of the corresponding spectral problem eigenfunctions and adjoint eigenfunctions, as well as for the hierarchies of their additional symmetries. The relation of these hierarchies with the integrable by Lax (2|1+1)-dimensional supersymmetric Davey-Stewartson system is investigated.
Cite
@article{arxiv.nlin/0601007,
title = {Lax Integrable Supersymmetric Hierarchies on Extented Phase Spaces},
author = {Oksana Ye. Hentosh},
journal= {arXiv preprint arXiv:nlin/0601007},
year = {2008}
}
Comments
Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/