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

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

2008-09-23

arxiv.org/abs/0809.3833v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

9 pages, 1 figure

Scientific paper

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

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