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Start Over Author "Tian, Kai" Topic operator theory Publisher iop publishing
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1. A non-standard Lax formulation of the Harry Dym hierarchy and its supersymmetric extension.

Author

Tian, Kai, Popowicz, Ziemowit, and Liu, Q. P.

Subjects
*SUPERSYMMETRY, *KORTEWEG-de Vries equation, *MATHEMATICAL transformations, *COUPLED mode theory (Wave-motion), *OPERATOR theory, *NONLINEAR differential equations, *FIELD extensions (Mathematics)
Abstract

For the Harry Dym hierarchy, a non-standard Lax formulation is deduced from that of the Korteweg-de Vries (KdV) equation through a reciprocal transformation. By supersymmetrizing this Lax operator, a new N = 2 supersymmetric extension of the Harry Dym hierarchy is constructed, and is further shown to be linked to one of the N = 2 supersymmetric KdV equations through the superconformal transformation. The bosonic limit of this new N = 2 supersymmetric Harry Dym equation is related to a coupled system of KdV-MKdV equations. [ABSTRACT FROM AUTHOR]

Published
2012
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