Hierarchies of q-discrete Painlevé equations
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Nonlinear Mathematical Physics"
DOI: 10.1080/14029251.2020.1757235
Abstract: In this paper, we construct a new hierarchy based on the third q-discrete Painlevé equation (qPIII) and also study the hierarchy of the second q-discrete Painlevé equation (qPII). Both hierarchies are derived by using reductions… read more here.
Keywords: equation; discrete painlev; painlev equations; hierarchies discrete ... See more keywords
Stokes phenomena in discrete Painlevé II
Sign Up to like & getrecommendations! Published in 2017 at "Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences"
DOI: 10.1098/rspa.2016.0539
Abstract: We consider the asymptotic behaviour of the second discrete Painlevé equation in the limit as the independent variable becomes large. Using asymptotic power series, we find solutions that are asymptotically pole-free within some region of… read more here.
Keywords: phenomena discrete; stokes phenomena; power series; discrete painlev ... See more keywords