Group Theoretical Structure and Inverse Scattering Method for super-KdV Equation
High Energy Physics - Theory
2016-06-08 v1 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
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.
Cite
@article{arxiv.hep-th/0312158,
title = {Group Theoretical Structure and Inverse Scattering Method for super-KdV Equation},
author = {Petr P. Kulish and Anton M. Zeitlin},
journal= {arXiv preprint arXiv:hep-th/0312158},
year = {2016}
}
Comments
LaTeX2e, 19 pages, Zapiski Nauchnih Seminarov POMI (Steklov Institute), vol. 291, 185-205, 2002 (in russian); Engl. transl. : Journal of Math. Sci., Kluwer, in press