2 M ay 2 00 4 S - functions , reductions and hodograph solutions of the r - th dispersionless modified KP and Dym hierarchies

Abstract

We introduce an S-function formulation for the recently found r-th dispersionless modified KP and r-th dispersionless Dym hierarchies, giving also a connection of these S-functions with the Orlov functions of the hierarchies. Then, we discuss a reduction scheme for the hierarchies that together with the S-function formulation leads to hodograph systems for… (More)

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Cite this paper

@inproceedings{Maas20082MA, title={2 M ay 2 00 4 S - functions , reductions and hodograph solutions of the r - th dispersionless modified KP and Dym hierarchies}, author={Manuel Ma{\~n}as}, year={2008} }