Results 21 to 30 of about 1,141,931 (185)
Ultradiscrete Painlevé VI with Parity Variables
Symmetry, Integrability and Geometry: Methods and Applications, 2013 We introduce a ultradiscretization with parity variables of the q-difference Painlevé VI system of equations. We show that ultradiscrete limit of Riccati-type solutions of q-Painlevé VI satisfies the ultradiscrete Painlevé VI system of equations with the
Kouichi Takemura, Terumitsu Tsutsui
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Cluster integrable systems, q-Painlevé equations and their quantization
Journal of High Energy Physics, 2018 We discuss the relation between the cluster integrable systems and q-difference Painlevé equations. The Newton polygons corresponding to these integrable systems are all 16 convex polygons with a single interior point.
M. Bershtein +2 more
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Second-order second-degree Painlevé equations related to Painlevé IV,V,VI equations [PDF]
, 1998 The algorithmic method introduced by Fokas and Ablowitz to investigate the transformation properties of Painlevé equations is used to obtain one-to-one correspondence between the Painlevé IV, V and VI equations and the second-order second-degree ...
Sakka, A., Muǧan, U.
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Mathematics, 2023 The Chavy–Waddy–Kolokolnikov model for the description of bacterial colonies is considered. In order to establish if the mathematical model is integrable, the Painlevé test is conducted for the nonlinear ordinary differential equation which corresponds ...
Nikolay A. Kudryashov, Sofia F. Lavrova
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Lagrangians of Painlevé equations [PDF]
, 2020 In this article, we investigate Lagrangians of Painlevé equations. As is well known, Painlevé equations can be rewritten into Painlevé systems which are Hamiltonian systems.
Murata, Yoshihiro
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Irregular conformal blocks, Painlevé III and the blow-up equations
Journal of High Energy Physics, 2020 We study the relation of irregular conformal blocks with the Painlevé III3 equation. The functional representation for the quasiclassical irregular block is shown to be consistent with the BPZ equations of conformal field theory and the Hamilton-Jacobi ...
Pavlo Gavrylenko +2 more
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Second-order second degree Painlevé equations related with Painlevé I, II, III equations [PDF]
, 1997 The algorithmic method introduced by Fokas and Ablowitz to investigate the transformation properties of Painlevé equations is used to obtain a one-to-one correspondence between the Painlevé I, II and III equations and certain second-order second degree ...
Sakka, A., Muǧan, U.
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Painlevé Analysis of the Cosmological Field Equations in Weyl Integrable Spacetime
Universe, 2022 We apply a singularity analysis to investigate the integrability properties of the gravitational field equations in Weyl Integrable Spacetime for a spatially flat Friedmann–Lemaître–Robertson–Walker background spacetime induced by an ideal gas.
Andronikos Paliathanasis
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Second-order second-degree Painlevé equations related with Painlevé I-VI equations and Fuchsian-type transformations [PDF]
, 1999 One-to-one correspondence between the Painlevé I-VI equations and certain second-order second-degree equations of Painlevé type is investigated. The transformation between the Painlevé equations and second-order second-degree equations is the one ...
Muğan, U. +3 more
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Full-deautonomisation of a class of second-order mappings in ancillary form [PDF]
Open Communications in Nonlinear Mathematical Physics, 2023 We present an application of the full-deautonomisation method to a class of secondorder mappings which, using an ancillary variable, can be cast into a form that greatly facilitates the study of their singularities.
Basil Grammaticos, Ralph Willox
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