Supersymmetric integrable systems from geodesic flows on superconformal groups
classification
🌊 nlin.SI
hep-thmath-phmath.MP
keywords
equationgeodesiccamassa-holmdiscussexamplesextensionsfermionicflow
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We discuss the possible relationship between geodesic flow, integrability and supersymmetry, using fermionic extensions of the KdV equation, as well as the recently introduced supersymmetrisation of the Camassa-Holm equation, as illustrative examples.
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