Li, C.X., Nimmo, J.J.C., and Tamizhmani, K.M. (2009) On solutions to the non-Abelian Hirota–Miwa equation and its continuum limits. Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 465 (2105). pp. 1441-1451. ISSN 1364-5021 (doi:10.1098/rspa.2008.0438)
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 non-commutative differential-difference equations ending with the non-commutative KP equation. For each of these systems, the quasideterminant solutions are constructed as well.
|Glasgow Author(s):||Nimmo, Dr Jonathan|
|Authors:||Li, C.X., Nimmo, J.J.C., and Tamizhmani, K.M.|
|Subjects:||Q Science > QA Mathematics|
|College/School:||College of Science and Engineering > School of Mathematics and Statistics > Mathematics|
|Journal Name:||Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences|
|Published Online:||20 February 2009|