2013
DOI: 10.1088/1751-8113/46/46/465202
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Solutions to the ultradiscrete KP hierarchy and its reductions

Abstract: Abstract. We propose a recursive representation of solutions to an ultradiscrete analogue of the discrete KP hierarchy, which is the master equation of discrete soliton equations. We also propose a class of solutions which can be used to start the recursion. Finally, as an application, we discuss the compatibility condition of ultradiscrete soliton equations.

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