On linearization of super sine-Gordon equation

Abstract

Two sets of super Riccati equations are presented which result in two linear problems of super sine-Gordon equation. The linear problems are then shown to be related to each other by a super gauge transformation and to the super Bäcklund transformation of the equation.

9 Pages

References in corpus (5)

• Conserved charges and supersymmetry in principal chiral and WZW models
• Darboux Transformation for Supersymmetric KP Hierarchies
• The sAKNS Hierarchy
• Zero Curvature Formalism for Supersymmetric Integrable Hierarchies in Superspace
• Zero-Curvature Formalism of Supersymmetric Principal Chiral Model

Cited by in corpus (9)

• On Darboux transformation of the supersymmetric sine-Gordon equation
• Invariant solutions of the supersymmetric sine-Gordon equation
• Quasi-Integrability in Supersymmetric Sine-Gordon Models
• On integrability aspects of the supersymmetric sine-Gordon equation
• On the Integrability of Supersymmetric Versions of the Structural Equations for Conformally Parametrized Surfaces
• Supersymmetric versions of the equations of conformally parametrized surfaces
• Conserved Quantities in Noncommutative Principal Chiral Model with Wess-Zumino Term
• Generalized Super Bell Polynomials with Applications to Superymmetric Equations
• Fermionic supersymmetric extension of the Gauss-Weingarten and Gauss-Codazzi equations