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PT-symmetric extensions of the supersymmetric Korteweg-de Vries equation

Bagchi, B. and Fring, A. (2008). PT-symmetric extensions of the supersymmetric Korteweg-de Vries equation. Journal of Physics A: Mathematical and General, 41(39), doi: 10.1088/1751-8113/41/39/392004

Abstract

We discuss several PT-symmetric deformations of superderivatives. Based on these various possibilities, we propose new families of complex PT-symmetric deformations of the supersymmetric Korteweg–de Vries equation. Some of these new models are mere fermionic extensions of the former in the sense that they are formulated in terms of superspace-valued superfields containing bosonic and fermionic fields, breaking however the supersymmetry invariance. Nonetheless, we also find extensions, which may be viewed as new supersymmetric Korteweg–de Vries equation. Moreover, we show that these deformations allow for a non-Hermitian Hamiltonian formulation.

Publication Type: Article
Publisher Keywords: NON-HERMITIAN HAMILTONIANS, CALOGERO MODEL, KDV EQUATION, OPERATORS, DEVRIES
Subjects: Q Science > QC Physics
Departments: School of Mathematics, Computer Science & Engineering > Mathematics
URI: http://openaccess.city.ac.uk/id/eprint/774
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