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

Emil Nissimov·Svetlana Pacheva
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Abstract

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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Emil Nissimov, Svetlana Pacheva. 2001-08-06. N=2 Supersymmetric Integrable Hierarchies: Additional Symmetries and Darboux-Backlund Solutions. https://arxiv.org/abs/nlin/0103055

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