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

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

2007-12-04

arxiv.org/abs/0712.0626v1

J.Phys.A41:312001,2008

Nonlinear Sciences

Exactly Solvable and Integrable Systems

8 pages

Scientific paper

10.1088/1751-8113/41/31/312001

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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