Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Discrete Painlevé equations: coalescences, limits and degeneracies - MaRDI portal

Discrete Painlevé equations: coalescences, limits and degeneracies

From MaRDI portal
Publication:1913856

DOI10.1016/0378-4371(95)00440-8zbMath0912.34011arXivsolv-int/9510011OpenAlexW2026817679MaRDI QIDQ1913856

Basile Grammaticos, Alfred Ramani

Publication date: 28 May 1996

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/solv-int/9510011



Related Items

INTEGRABLE DISCRETIZATIONS FOR LATTICE SYSTEM: LOCAL EQUATIONS OF MOTION AND THEIR HAMILTONIAN PROPERTIES, Discrete Painlevé transcendent solutions to the multiplicative-type discrete KdV equations, Non-Abelian hierarchies of compatible maps, associated integrable difference systems and Yang-Baxter maps, Integrable discretizations of the Bogoyavlensky lattices, Hypergeometric \(\tau\) functions of the \(q\)-Painlevé systems of types \(A_4^{(1)}\) and \((A_1+A_1')^{(1)}\), On two-parameter solutions of simultaneous ultradiscrete Painlevé II equation with parity variables, Classification of variational multiplicative fourth-order difference equations, Lattice equations arising from discrete Painlevé systems. I. (A2 + A1)(1) and (A1+A1′)(1) cases, From integrable lattices to non-QRT mappings, Integrable semi-discretisation of the Drinfel’d–Sokolov hierarchies, On a novel representation of discrete Painlevé equations, Transcendence of solutions of \(q\)-Painlevé equation of type \({A_7^{(1)}}\), Laguerre–Hahn orthogonal polynomials on the real line, Multiplicative equations related to the affine Weyl group E8, Lattice equations arising from discrete Painlevé systems: II. ${A}_{4}^{(1)}$ case, Discretising systematically the Painlevé equations, A systematic method for constructing discrete Painlevé equations in the degeneration cascade of the E8 group, Hierarchies of q-discrete Painlevé equations, Singularity analysis for difference Painlevé equations associated with the affine Weyl groupE8, Transcendence of solutions of \(q\)-Painlevé equation of type \({A^{(1)}_{6}}\), Geometric aspects of Painlevé equations, Special functions as solutions to discrete Painlevé equations., Complete integrability and singularity confinement of nonautonomous modified Korteweg-de Vries and sine Gordon mappings, On the limits of discrete Painlevé equations associated with the affine Weyl group E8, Rational solutions of difference Painlevé equations, \(q\)-analogues of Freud weights and nonlinear difference equations, Continuous limit of the difference second Painlevé equation and its asymptotic solutions, Functions satisfying Poincaré's multiplication formula, The ultimate discretisation of the Painlevé equations, A bilinear approach to discrete Miura transformations., On a novel \(q\)-discrete analogue of the Painlevé VI equation, A new method to test discrete Painlevé equations., Painlevé transcendents and the Hankel determinants generated by a discontinuous Gaussian weight, Full-parameter discrete Painlevé systems from non-translational Cremona isometries, The number of discrete Painlevé equations is infinite, Discrete Painlevé equations for recurrence coefficients of semiclassical Laguerre polynomials, Irreducibility of Discrete Painlevé Equation of Type <i>D</i><sub>7</sub><sup>(1)</sup>, Direct linearization approach to discrete integrable systems associated with ℤ 𝒩 graded Lax pairs, Strongly asymmetric discrete Painlevé equations: The additive case, Discrete dressing transformations and Painlevé equations, Cellular automata and ultra-discrete Painlevé equations, Discrete dressing transformations and Painlevé equations, Integrable mappings and the notion of anticonfinement, On the autonomous limit of discrete Painlevé equations, Hierarchies of exact solutions for the discrete third Painlevé equation, Integrable seven-point discrete equations and second-order evolution chains, From discrete to continuous Painlevé equations: a bilinear approach, Explicit solutions of the coupled Bogoyavlensky lattice 1(2) Hierarchy, Strongly asymmetric discrete Painlevé equations: The multiplicative case, Constructing discrete Painlevé equations: from E8(1) to A1(1) and back, Restoring discrete Painlevé equations from an E8(1)-associated one, A study of the discrete \(P_ V\) equation: Miura transformations and particular solutions, A new family of discrete Painlevé equations and associated linearisable systems, Parameterless discrete Painlevé equations and their Miura relations, The road to the discrete analogue of the Painlevé property: Nevanlinna meets singularity confinement, Proceedings of the 12th international workshop on nonlinear evolution equations and dynamical systems (NEEDS '98), Leeds, UK, June 21--28, 1998. Transl. from the Russian, Integrable modifications of the Ito-Narita-Bogoyavlensky equation, On the canonical forms of QRT mappings and discrete Painlevé equations, Special function solutions of the discrete Painlevé equations, On Quispel-Roberts-Thompson extensions and integrable correspondences, ${{\mathbb{Z}}_{N}}$ graded discrete Lax pairs and integrable difference equations, Bäcklund transformations for discrete Painlevé equations: discrete P\(_{\text{II}}\)-P\(_{\text{V}}\), Singularity confinement and full-deautonomisation: a discrete integrability criterion



Cites Work