Reductions of lattice mKdV to q-P_VI

2011/12/12 by Christopher M. Ormerod · 1 citation
Physics and Astronomy · #nlin.SI

paper · pdf · doi:10.1016/j.physleta.2012.09.008

4 pages

arxiv created 2011/12/12 · arxiv updated 2015/06/03

Abstract

This Letter presents a reduction of the lattice modified Korteweg-de-Vries equation that gives rise to a q-analogue of the sixth Painlevé equation. This new approach allows us to give the first ultradiscrete Lax representation of an ultradiscrete analogue of the sixth Painlevé equation.

Cited by

• Special solutions to five autonomous integrable partial difference equations via the third and sixth Painlevé equations and the Garnier system in two variables