Soliton Solutions for the Super mKdV and sinh-Gordon Hierarchy

Abstract

The dressing and vertex operator formalism is emploied to study the soliton solutions of the N=1 super mKdV and sinh-Gordon models. Explicit two and four vertex solutions are constructed. The relation between the soliton solutions of both models is verified.

To appear in Phys. Lett. A

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• SKdV, SmKdV flows and their supersymmetric gauge-Miura transformations
• New negative grade solitonic sector for supersymmetric KdV and mKdV hierarchies