Soliton Solutions for the Super mKdV and sinh-Gordon Hierarchy
J.F. Gomes, L.H. Ymai, A.H. Zimerman
TL;DR
This paper uses dressing and vertex operator methods to construct explicit soliton solutions for the N=1 super mKdV and sinh-Gordon models, and explores their interrelation.
Contribution
It introduces explicit two and four vertex solutions for the super mKdV and sinh-Gordon models and verifies their relation.
Findings
Explicit two and four vertex soliton solutions constructed
Confirmed the relation between solutions of super mKdV and sinh-Gordon models
Demonstrated the effectiveness of dressing and vertex operator formalism
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.
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