Group Theoretical Structure and Inverse Scattering Method for super-KdV Equation
Petr P. Kulish, Anton M. Zeitlin
TL;DR
This paper develops a group-theoretical framework for the super-KdV equation using inverse scattering and Drinfeld-Sokolov reduction, providing insights into its algebraic structure and solution methods.
Contribution
It introduces a novel application of the Drinfeld-Sokolov reduction to the osp(1|2) superalgebra for deriving the super-KdV equation.
Findings
Formulation of the super-KdV equation via group-theoretical methods
Analysis of the direct and inverse scattering problems for the Lax pair
Connection between supersymmetric integrable systems and algebraic structures
Abstract
Using the group-theoretical approach to the inverse scattering method the supersymmetric Korteweg-de Vries equation is obtained by application of the Drinfeld-Sokolov reduction to osp(1|2) loop superalgebra. The direct and inverse scattering problems are discussed for the corresponding Lax pair.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.