A class of soliton solutions for the N=2 super mKdV/Sinh-Gordon hierarchy

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Data

2008-08-08

Autores

Aratyn, H.
Gomes, J. F. [UNESP]
Ymai, L. H. [UNESP]
Zimerman, Abraham Hirsz [UNESP]

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Iop Publishing Ltd

Resumo

Employing Hirota's method, a class of soliton solutions for the N = 2 super mKdV equations is proposed in terms of a single Grassmann parameter. Such solutions are shown to satisfy two copies of N = 1 supersymmetric mKdV equations connected by nontrivial algebraic identities. Using the super Miura transformation, we obtain solutions of the N = 2 super KdV equations. These are shown to generalize solutions derived previously. By using them KdV/sinh-Gordon hierarchy properties we generate the solutions of the N = 2 super sinh-Gordon as well.

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Journal of Physics A-mathematical and Theoretical. Bristol: Iop Publishing Ltd, v. 41, n. 31, p. 7, 2008.