The zero curvature formulation of the sKdV equations
- 1 September 1990
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 31 (9) , 2145-2149
- https://doi.org/10.1063/1.528616
Abstract
The fermionic extensions of the KdV equation are derived from the zero curvature condition associated with the superalgebra OSp(2‖1). This derivation clarifies why there are only two such extensions possible and why only one of them is supersymmetric. A Lenard type of derivation of these equations is also presented.Keywords
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