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arXiv · 0712.0626

A Class of Soliton Solutions for the N=2 Super mKdV/Sinh-Gordon Hierarchy

H. Aratyn·J. F. Gomes·L. H. Ymai·A. H. Zimerman
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Abstract

Employing the 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 the mKdV/sinh-Gordon hierarchy properties we generate the solutions of the N=2 super sinh-Gordon as well.

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H. Aratyn, J. F. Gomes, L. H. Ymai, A. H. Zimerman. 2007-12-04. A Class of Soliton Solutions for the N=2 Super mKdV/Sinh-Gordon Hierarchy. https://doi.org/10.1088/1751-8113/41/31/312001

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