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.

arXiv commentTo appear in Phys. Lett. A

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Cited by in corpus (10)

• Nonlinear integrable couplings of a generalized super Ablowitz-Kaup-Newell-Segur hierarchy and its super bi-Hamiltonian structures
• Permutability of Backlund Transformation for N=1 Supersymmetric Sinh-Gordon
• A Class of Soliton Solutions for the N=2 Super mKdV/Sinh-Gordon Hierarchy
• A Class of Mixed Integrable Models
• Defects in the supersymmetric mKdV hierarchy via Backlund transformations
• Super WZNW with Reductions to Supersymmetric and Fermionic Integrable Models
• Backlund Transformation for Integrable Hierarchies: example - mKdV Hierarchy
• Classical Integrable N=1 and $N=2$ Super Sinh-Gordon Models with Jump Defects
• SKdV, SmKdV flows and their supersymmetric gauge-Miura transformations
• New negative grade solitonic sector for supersymmetric KdV and mKdV hierarchies