Group Theoretical Structure and Inverse Scattering Method for super-KdV Equation

Details Group Theoretical Structure and Inverse Scattering Method for super-KdV Equation Group Theoretical Structure and Inverse Scattering Method for super-KdV Equation

2003-12-14

arxiv.org/abs/hep-th/0312158v1

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX2e, 19 pages, Zapiski Nauchnih Seminarov POMI (Steklov Institute), vol. 291, 185-205, 2002 (in russian); Engl. transl. :

Scientific paper

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.

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