On solutions to the non-Abelian Hirota-Miwa equation and its continuum limits
Exactly Solvable and Integrable Systems
2009-11-13 v1
Abstract
In this paper, we construct grammian-like quasideterminant solutions of a non-Abelian Hirota-Miwa equation. Through continuum limits of this non-Abelian Hirota-Miwa equation and its quasideterminant solutions, we construct a cascade of noncommutative differential-difference equations ending with the noncommutative KP equation. For each of these systems the quasideterminant solutions are constructed as well.
Cite
@article{arxiv.0809.3833,
title = {On solutions to the non-Abelian Hirota-Miwa equation and its continuum limits},
author = {C. X. Li and J. J. C. Nimmo and K. M. Tamizhmani},
journal= {arXiv preprint arXiv:0809.3833},
year = {2009}
}
Comments
9 pages, 1 figure