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Title of Journal: J Math Sci

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Abbravation: Journal of Mathematical Sciences

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Springer US

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DOI

10.1007/bf02089211

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1573-8795

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On skewsymmetric and general deformations of Lax

Authors: B A Kupershmidt
Publish Date: 2008/07/22
Volume: 151, Issue: 4, Pages: 3139-3150
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Abstract

A nonlinear deformation is conjectured for the reduction of the 3rd KP flow on the subspace of skewsymmetric operators and the conjecture is proved for the linearized flow As a byproduct we find a peculiar nonquantum polynomial deformation of the numbers left left beginarray20c 2n + 1 2s + 1 endarray rightfrac4s + 1 1 s + 1B 2 s + 2 right where B m ’s are the Bernoulli numbers General open questions and generalizations are also discussed The conjecture is extended to all the flows and its linearized version is proved

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