A Class of Soliton Solutions for the N=2 Super mKdV/Sinh-Gordon Hierarchy
Exactly Solvable and Integrable Systems
2008-11-26 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.0712.0626,
title = {A Class of Soliton Solutions for the N=2 Super mKdV/Sinh-Gordon Hierarchy},
author = {H. Aratyn and J. F. Gomes and L. H. Ymai and A. H. Zimerman},
journal= {arXiv preprint arXiv:0712.0626},
year = {2008}
}
Comments
8 pages