On Darboux transformation of the supersymmetric sine-Gordon equation
arXiv:hep-th/0605094 · doi:10.1088/0305-4470/39/23/010
Abstract
Darboux transformation is constructed for superfields of the super sine-Gordon equation and the superfields of the associated linear problem. The Darboux transformation is shown to be related to the super Bäcklund transformation and is further used to obtain super soliton solutions.
9 Pages
References in corpus (9)
- Darboux Transformations for Supersymmetric Korteweg - de Vries Equations
- Conserved charges and supersymmetry in principal chiral and WZW models
- Darboux Transformation for the Manin-Radul Supersymmetric KdV equation
- Darboux Transformation for Supersymmetric KP Hierarchies
- Crum Transformations and Wronskian Type Solutions for Supersymmetric KdV equation
- Pfaffian Solutions for the Manin-Radul-Mathieu SUSY KdV and SUSY sine-Gordon Equations
- On linearization of super sine-Gordon equation
- Zero Curvature Formalism for Supersymmetric Integrable Hierarchies in Superspace
- Zero-Curvature Formalism of Supersymmetric Principal Chiral Model
Cited by in corpus (9)
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- A Novel Symmetry Constraint Of The Super cKdV System
- 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
- Supersymmetric versions of the Fokas-Gel'fand formula for immersion
- On geometric aspects of the SUSY Fokas-Gel'fand immersion formula