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Properties of Supersymmetric Integrable Systems of KP Type | | Emil Nissimov
; Svetlana Pacheva
; | | Date: |
13 Aug 2001 | | Journal: | EuroPhysics Journal B29 (2002) 197 | | Subject: | Exactly Solvable and Integrable Systems | nlin.SI hep-th | | Abstract: | The recently proposed supersymmetric extensions of reduced Kadomtsev-Petviashvili (KP) integrable hierarchies in $N =1,2$ superspace are shown to contain in the purely bosonic limit new types of ordinary non-supersymmetric integrable systems. The latter are coupled systems of several multi-component non-linear Schr{ödinger-like hierarchies whose basic nonlinear evolution equations contain additional quintic and higher-derivative nonlinear terms. Also, we obtain the N=2 supersymmetric extension of Toda chain model as Darboux-B{äcklund orbit of the simplest reduced N=2 super-KP hierarchy and find its explicit solution. | | Source: | arXiv, nlin.SI/0108021 | | Services: | Forum | Review | PDF | Favorites | |
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