Discrete Painlevé equations and their Lax pairs as reductions of integrable lattice equations
- 15 February 2013
- journal article
- Published by IOP Publishing in Journal of Physics A: Mathematical and Theoretical
- Vol. 46 (9), 95204
- https://doi.org/10.1088/1751-8113/46/9/095204
Abstract
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This publication has 39 references indexed in Scilit:
- The staircase method: integrals for periodic reductions of integrable lattice equationsJournal of Physics A: Mathematical and Theoretical, 2010
- Initial value problems for lattice equationsJournal of Physics A: Mathematical and Theoretical, 2009
- Discrete nonlinear hyperbolic equations. Classification of integrable casesFunctional Analysis and Its Applications, 2009
- A Lax pair for a lattice modified KdV equation, reductions toq-Painlevé equations and associated Lax pairsJournal of Physics A: Mathematical and Theoretical, 2006
- A new stochastic cellular automaton model on traffic flow and its jamming phase transitionJournal of Physics A: General Physics, 2006
- Duality for discrete integrable systemsJournal of Physics A: General Physics, 2005
- Reductions of Integrable LatticesJournal of Non-linear Mathematical Physics, 2005
- Lax pairs for ultra-discrete Painlevé cellular automataJournal of Physics A: General Physics, 2004
- The discrete Korteweg-de Vries equationActa Applicandae Mathematicae, 1995
- Monodromy- and spectrum-preserving deformations ICommunications in Mathematical Physics, 1980