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arXiv · 0809.3833

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

C. X. Li·J. J. C. Nimmo·K. M. Tamizhmani
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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.

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C. X. Li, J. J. C. Nimmo, K. M. Tamizhmani. 2008-09-23. On solutions to the non-Abelian Hirota-Miwa equation and its continuum limits. https://doi.org/10.1098/rspa.2008.0438

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