Deformations of N=2 superconformal algebra and supersymmetric two-component Camassa-Holm equation
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Iop Publishing Ltd
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This paper is concerned with a link between central extensions of N = 2 superconformal algebra and a supersymmetric two-component generalization of the Camassa-Holm equation. Deformations of superconformal algebra give rise to two compatible bracket structures. One of the bracket structures is derived from the central extension and admits a momentum operator which agrees with the Sobolev norm of a co-adjoint orbit element. The momentum operator induces, via Lenard relations, a chain of conserved Hamiltonians of the resulting supersymmetric Camassa-Holm hierarchy.
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Journal of Physics A-mathematical and Theoretical. Bristol: Iop Publishing Ltd, v. 40, n. 17, p. 4511-4527, 2007.
