The homogeneous realization of the basic representation of A inf1 sup(1) and the toda lattice |
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| Authors: | A. P. E. Ten Kroode M. J. Bergvelt |
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| Affiliation: | (1) Mathematical Institute, University of Amsterdam, Roetersstraat 15, 1018 WB Amsterdam, The Netherlands;(2) Institute of Theoretical Physics, University of Amsterdam, Valckenierstraat 65, 1018 XE Amsterdam, The Netherlands |
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| Abstract: | It is well-known that the principal realization of the basic module L( 0) over Ainf1sup(1)gives rise to the KdV hierarchy of partial differential equations. Here we use the homogeneous realization of the same module to construct a hierarchy of differential-difference equations, the first member of which turns out to be the equation for the Toda lattice. |
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