Reductions of lattice mKdV to q-P_(VI)
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🌊 nlin.SI
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equationanaloguelatticepainlevsixthultradiscreteallowsapproach
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This Letter presents a reduction of the lattice modified Korteweg-de-Vries equation that gives rise to a $q$-analogue of the sixth Painlev\'e equation. This new approach allows us to give the first ultradiscrete Lax representation of an ultradiscrete analogue of the sixth Painlev\'e equation.
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