On solutions to the non-Abelian Hirota–Miwa equation and its continuum limits-Reference-Cited by-同舟云学术

On solutions to the non-Abelian Hirota–Miwa equation and its continuum limits

Published:2009-02-20 Issue:2105 Volume:465 Page:1441-1451
ISSN:1364-5021
Container-title:Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Proc. R. Soc. A.

Author:

Li C.X.¹,Nimmo J.J.C.²,Tamizhmani K.M.³

Affiliation:

1. School of Mathematical Sciences, Capital Normal UniversityBeijing 100048, People's Republic of China

2. Department of Mathematics, University of GlasgowGlasgow G12 8QW, UK

3. Department of Mathematics, Pondicherry UniversityKalapet, Pondicherry 605 014, India

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 non-commutative differential-difference equations ending with the non-commutative KP equation. For each of these systems, the quasideterminant solutions are constructed as well.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2008.0438

Reference19 articles.

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