N=2 Supersymmetric Integrable Hierarchies: Additional Symmetries and Darboux-Backlund Solutions

Details N=2 Supersymmetric Integrable Hierarchies: Additional Symmetries and Darboux-Backlund Solutions N=2 Supersymmetric Integrable Hierarchies: Additional Symmetries and Darboux-Backlund Solutions

2001-03-29

arxiv.org/abs/nlin/0103055v3

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Mod.Phys.Lett. LaTeX Style, 14 pages, comments and references added, minor changes in Sect.3

Scientific paper

We study additional non-isospectral symmetries of constrained (reduced) N=2 supersymmetric KP hierarchies of integrable ``soliton''-like evolution equations. These symmetries are shown to form an infinite-dimensional non-Abelian superloop superalgebra. Furthermore we study the general Darboux-Backlund (DB) transformations (including adjoint-DB and binary DB) of N=2 super- KP hierarchies preserving (most of) the additional symmetries. Also we derive the explicit form of the general DB (N=2 ``super- soliton''-like) solutions in the form of generalized Wronskian-like super-determinants.

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