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Symmetry, Integrability and Geometry: Methods and Applications, 2006, Volume 2, 001, 11 pp.
DOI: https://doi.org/10.3842/SIGMA.2006.001 (Mi sigma29) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Lax Integrable Supersymmetric Hierarchies on Extented Phase Spaces

Oksana Ye. Hentosh

IInstitute for Applied Problems of Mechanics and Mathematics, National Academy of Sciences of Ukraine, 3B Naukova Str., Lviv, 79060, Ukraine
Full-text PDF (229 kB) Citations (9)
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DOI: https://doi.org/10.3842/SIGMA.2006.001
Abstract: 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.
Keywords: Lax type flows; “ghost” symmetries; the Davey–Stewartson system.
Received: October 27, 2005; in final form December 21, 2005; Published online January 4, 2006
Bibliographic databases:
Document Type: Article
MSC: 35Q53; 35Q58; 37K10; 37K30; 37K35; 58A50
Language: English
Citation: Oksana Ye. Hentosh, “Lax Integrable Supersymmetric Hierarchies on Extented Phase Spaces”, SIGMA, 2 (2006), 001, 11 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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