1998/08/05 by H. Aratyn, Aratyn, H., E. Nissimov +5
Biochemistry, Genetics and Molecular Biology · Chemistry · Physics and Astronomy · #Biological Activity of Diterpenoids and Biflavonoids #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Molecular spectroscopy and chirality #Nonlinear Waves and Solitons #hep-th #nlin.SI #solv-int
paper · pdf · doi:10.48550/arxiv.solv-int/9808004
LaTeX, 9 pgs., contribution to Festschrift for A.H. Zimerman
arxiv created 1998/08/05 · openalex publication_date 1998/08/05 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider a broad class of consistently reduced Manin-Radul supersymmetric KP hierarchies (MR-SKP) which are supersymmetric analogs of the ordinary bosonic constrained KP models. Compatibility of these reductions with the MR fermionic isospectral flows is achieved via appropriate modification of the latter preserving their (anti-)commutation algebra. Unlike the general unconstrained MR-SKP case, Darboux-Backlund transformations do preserve the fermionic isospectral flows of the reduced MR-SKP hierarchies. This allows for a systematic derivation of explicit Berezinian solutions for the super-tau-functions (super-solitons) for these models.