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We propose an ultradiscrete permanent solution to the ultradiscrete KPequation. The ultradiscrete permanent is an ultradiscrete analogue of the usualpermanent. The elements on this ultradiscrete permanent solution are requiredsome additional relations other than the ultradiscrete dispersion relation. Weconfirm the solution satisfying these relations and propose some explicitexamples of the solution.

Ultradiscrete Permanent Solution to the Ultradiscrete KP Equation