A bi-Hamiltonian supersymmetric geodesic equation (Q1024840)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A bi-Hamiltonian supersymmetric geodesic equation |
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A bi-Hamiltonian supersymmetric geodesic equation (English)
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17 June 2009
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The author constructs a supersymmetric extension of the Hunter-Saxton equation, and shows that the extended equation arises geometrically as a geodesic equation on the space of superdiffeomorphisms of the circle that leave a point fixed endowed with a right-invariant metric. A bi-Hamiltonian structure and a Lax pair are also presented. The paper is clearly written and well organized.
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supersymmetry
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integrable system
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bi-Hamiltonian structure
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Hunter-Saxton equation
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