Factorization methods for Noncommutative KP and Toda hierarchy
Exactly Solvable and Integrable Systems
2009-11-10 v3
Abstract
We show that the solution space of the noncommutative KP hierarchy is the same as that of the commutative KP hierarchy owing to the Birkhoff decomposition of groups over the noncommutative algebra. The noncommutative Toda hierarchy is introduced. We derive the bilinear identities for the Baker--Akhiezer functions and calculate the -soliton solutions of the noncommutative Toda hierarchy.
Cite
@article{arxiv.nlin/0408002,
title = {Factorization methods for Noncommutative KP and Toda hierarchy},
author = {M. Sakakibara},
journal= {arXiv preprint arXiv:nlin/0408002},
year = {2009}
}
Comments
7 pages, no figures, AMS-LaTeX, minor corrections, final version to appear in Journal of Physics A