Deformations of the KdV hierarchy and related soliton equations
q-alg
2008-02-03 v1 High Energy Physics - Theory
Quantum Algebra
Abstract
We define hierarchies of differential--q-difference equations, which are q-deformations of the equations of the generalized KdV hierarchies. We show that these hierarchies are bihamiltonian, one of the hamiltonian structures being that of the q-deformed classical W-algebra of sl(N), defined by Reshetikhin and the author. We also find q-deformations of the mKdV hierarchies and the affine Toda equations.
Cite
@article{arxiv.q-alg/9511003,
title = {Deformations of the KdV hierarchy and related soliton equations},
author = {Edward Frenkel},
journal= {arXiv preprint arXiv:q-alg/9511003},
year = {2008}
}
Comments
19 pages, AMSLATEX