From a bi-Hamiltonian viewpoint the equivalence of two supersymmetric Korteweg-deVries theories, introduced by Manin-Radul and Laberge-Mathieu, is discussed herein. It is shown that the transformation connecting the two theories (proposed recently in the literature) preserves the bi-Hamiltonian structures; moreover, another derivation of this transformation, stemming from bi-Hamiltonian reduction theory and strongly emphasizing the geometrical meaning of the above equivalence, is presented.
On the equivalence of two super Korteweg–deVries theories: A bi‐Hamiltonian viewpoint / C. Morosi, L. Pizzocchero. - In: JOURNAL OF MATHEMATICAL PHYSICS. - ISSN 0022-2488. - 35:5(1994), pp. 2397-2407.
On the equivalence of two super Korteweg–deVries theories: A bi‐Hamiltonian viewpoint
L. PizzoccheroUltimo
1994
Abstract
From a bi-Hamiltonian viewpoint the equivalence of two supersymmetric Korteweg-deVries theories, introduced by Manin-Radul and Laberge-Mathieu, is discussed herein. It is shown that the transformation connecting the two theories (proposed recently in the literature) preserves the bi-Hamiltonian structures; moreover, another derivation of this transformation, stemming from bi-Hamiltonian reduction theory and strongly emphasizing the geometrical meaning of the above equivalence, is presented.
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