Lax Integrable Supersymmetric Hierarchies on Extented Phase Spaces

Details Lax Integrable Supersymmetric Hierarchies on Extented Phase Spaces Lax Integrable Supersymmetric Hierarchies on Extented Phase Spaces

2006-01-04

arxiv.org/abs/nlin/0601007v1

SIGMA 2 (2006), 001, 11 pages

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/

Scientific paper

10.3842/SIGMA.2006.001

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.

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