A N=2 extension of the Hirota bilinear formalism and the supersymmetric KdV equation
Abstract
We present a bilinear Hirota representation of the N=2 supersymmetric extension of the Korteweg-de Vries equation. This representation is deduced using binary Bell polynomials, hierarchies and fermionic limits. We, also, propose a new approach for the generalisation of the Hirota bilinear formalism in the N=2 supersymmetric context.
- Publication:
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arXiv e-prints
- Pub Date:
- September 2015
- DOI:
- 10.48550/arXiv.1509.03137
- arXiv:
- arXiv:1509.03137
- Bibcode:
- 2015arXiv150903137D
- Keywords:
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- Mathematical Physics;
- High Energy Physics - Theory
- E-Print:
- 11 pages, 6 figures