A Class of Mixed Integrable Models

TL;DR

This paper explores the algebraic structure and integrability of mixed mKdV/sinh-Gordon models and their extensions to AKNS/Lund-Regge and supersymmetric versions, demonstrating zero curvature integrability and soliton solutions.

Contribution

It extends the algebraic framework of mixed integrable models to new systems and their supersymmetric variants, confirming their integrability via zero curvature representation.

Findings

Confirmed integrability through zero curvature formulation

Extended models to supersymmetric versions

Discussed soliton solutions in extended models

Abstract

The algebraic structure of the integrable mixed mKdV/sinh-Gordon model is discussed and \textit{}extended to the AKNS/Lund-Regge model and to its corresponding supersymmetric versions. The integrability of the models is guaranteed from the zero curvature representation and some soliton solutions are discussed.