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

Autor:	Aratyn, H., Gomes, J. F., Ymai, L. H., Zimerman, A. H.
Rok vydání:	2007
Předmět:	Nonlinear Sciences - Exactly Solvable and Integrable Systems High Energy Physics - Theory Mathematical Physics
Zdroj:	J.Phys.A41:312001,2008
Druh dokumentu:	Working Paper
DOI:	10.1088/1751-8113/41/31/312001
Popis:	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. Comment: 8 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0712.0626 Zobrazit plný text záznamu View this record from Arxiv