Singularity confinement test for ultradiscrete equations with parity variables

We present a new ultradiscretization method which does not require that the solutions of the discrete equation have a fixed sign. We construct an ultradiscrete analogue of the singularity confinement test using this method and thereby propose an integrability test for ultradiscrete equations.

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Bibliographic Details
Published in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2009-08, Vol.42 (31), p.315206-315206 (7)
Main Authors: Mimura, N, Isojima, S, Murata, M, Satsuma, J
Format: Article
Language:English
Subjects:
Exact sciences and technology
Physics
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Summary:We present a new ultradiscretization method which does not require that the solutions of the discrete equation have a fixed sign. We construct an ultradiscrete analogue of the singularity confinement test using this method and thereby propose an integrability test for ultradiscrete equations.
ISSN:1751-8121
1751-8113
1751-8121
DOI:10.1088/1751-8113/42/31/315206