The supersymmetric Camassa-Holm equation and geodesic flow on the superconformal group
Devchand, Chandrashekar ; Schiff, Jeremy
arXiv, 9811016 / Harvested from arXiv
Text on arXiv
We study a family of fermionic extensions of the Camassa-Holm equation. Within this family we identify three interesting classes: (a) equations, which are inherently hamiltonian, describing geodesic flow with respect to an H^1 metric on the group of superconformal transformations in two dimensions, (b) equations which are hamiltonian with respect to a different hamiltonian structure and (c) supersymmetric flow equations. Classes (a) and (b) have no intersection, but the intersection of classes (a) and (c) gives a candidate for a new supersymmetric integrable system. We demonstrate the Painlev\'e property for some simple but nontrivial reductions of this system.
Publié le : 1998-11-22
Classification:  Nonlinear Sciences - Exactly Solvable and Integrable Systems,  High Energy Physics - Theory,  Mathematical Physics,  Mathematics - Differential Geometry 
@article{9811016,
     author = {Devchand, Chandrashekar and Schiff, Jeremy},
     title = {The supersymmetric Camassa-Holm equation and geodesic flow on the
  superconformal group},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9811016}
}

Devchand, Chandrashekar; Schiff, Jeremy. The supersymmetric Camassa-Holm equation and geodesic flow on the
  superconformal group. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9811016/