FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2006, VOLUME 12, NUMBER 7, PAGES 101-116

On skew-symmetric and general deformations of Lax pseudodifferential operators

B. A. Kupershmidt

Abstract

View as HTML     View as gif image

A nonlinear deformation is conjectured for the reduction of the third KP flow on the subspace of skew-symmetric operators, and the conjecture is proved for the linearized flow. As a by-product, we find a peculiar (nonquantum) polynomial deformation of the numbers { \binom{2n+1}{2s+1} (4s+1−1)/(s+1) B2s+2 }, where Bm'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.

Main page Contents of the journal News Search

Location: http://mech.math.msu.su/~fpm/eng/k06/k067/k06707h.htm
Last modified: February 13, 2007