On the N=2 Supersymmetric Camassa-Holm and Hunter-Saxton Equations

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dc.creatorLenells, Jonatan
dc.creatorLechtenfeld, Olaf
dc.date2008-08-30
dc.date2009-01-27
dc.date.accessioned2026-07-07T12:51:15Z
dc.date.available2026-07-07T12:51:15Z
dc.descriptionWe consider N=2 supersymmetric extensions of the Camassa-Holm and Hunter-Saxton equations. We show that they admit geometric interpretations as Euler equations on the superconformal algebra of contact vector fields on the 1|2-dimensional supercircle. We use the bi-Hamiltonian formulation to derive Lax pairs. Moreover, we present some simple examples of explicit solutions. As a by-product of our analysis we obtain a description of the bounded traveling-wave solutions for the two-component Hunter-Saxton equation.
dc.description1+19 pages, 3 figures; v2: reference added; v3: more references added, published in LMP
dc.identifierhttps://arxiv.org/abs/0809.0077
dc.identifierhttp://arxiv.org/abs/0809.0077
dc.identifierJ.Math.Phys.50:012704,2009
dc.identifierdoi:10.1063/1.3060125
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/222934
dc.subjectExactly Solvable and Integrable Systems
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleOn the N=2 Supersymmetric Camassa-Holm and Hunter-Saxton Equations
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