An ultradiscrete matrix version of the fourth Painlevé equation
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Publication:2472251
DOI10.1155/2007/96752zbMath1155.39011arXivnlin/0610041OpenAlexW2002248886WikidataQ59214104 ScholiaQ59214104MaRDI QIDQ2472251
Chris Field, Christopher Michael Ormerod
Publication date: 20 February 2008
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/nlin/0610041
integrabilityirreducibilityultradiscrete systemsmatrix generalizationultradiscrete fourth Painlevé equation
Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Discrete version of topics in analysis (39A12)
Cites Work
- Unnamed Item
- Integrable evolution equations on associative algebras
- Rational surfaces associated with affine root systems and geometry of the Painlevé equations
- \(q\)-Painlevé systems arising from \(q\)-KP hierarchy
- Integrable ODEs on associative algebras
- Special function solutions of the discrete Painlevé equations
- Discrete dynamical systems with \(W(A^{(1)}_{m-1} \times A^{(1)}_{n-1})\) symmetry
- Integrable noncommutative equations on quad-graphs. The consistency approach
- On the Painlevé test for non-abelian equations
- On the identity of two \(q\)-discrete Painlevé equations and their geometrical derivation
- Piecewise-linear soliton equations and piecewise-linear integrable maps
- Exact solutions of quantum mappings from the lattice KdV as multi-dimensional operator difference equations
- A study on the fourthq-Painlevé equation
- Ultradiscretization without positivity
- Automorphisms of the semigroup of invertible matrices with nonnegative elements
- How to detect integrability in cellular automata
- Cellular automata and ultra-discrete Painlevé equations
- The General Theory of Linear Difference Equations over the Max‐Plus Semi‐Ring
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