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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive
TMF, 2000 Volume 123, Number 2, Pages 182–188 (Mi tmf596)
Supersymmetric integrable systems from geodesic flows on superconformal groups

C. Devchanda, J. Schiffb

a Max Planck Institute for Mathematics
b Bar-Ilan University

Abstract: We discuss the possible relation between geodesic flow, integrability, and supersymmetry, using fermionic extensions of the KdV equation and the recently introduced supersymmetrization of the Camassa–Holm equation as illustrative examples.

DOI: 10.4213/tmf596


 English version: Theoretical and Mathematical Physics, 2000, 123:2, 563–568

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© Steklov Math. Inst. of RAS, 2025