Lax Integrable Supersymmetric Hierarchies on Extented Phase Spaces

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

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Exactly Solvable and Integrable Systems, Mathematical Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/159563

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0601007
 http://arxiv.org/abs/nlin/0601007
 SIGMA 2 (2006), 001, 11 pages
 doi:10.3842/SIGMA.2006.001

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arXiv