Results 31 to 40 of about 1,141,931 (185)
The Lattice Structure of Connection Preserving Deformations for q-Painlevé Equations I
Symmetry, Integrability and Geometry: Methods and Applications, 2011 We wish to explore a link between the Lax integrability of the q-Painlevé equations and the symmetries of the q-Painlevé equations. We shall demonstrate that the connection preserving deformations that give rise to the q-Painlevé equations may be thought
Christopher M. Ormerod
doaj +1 more source
Second-order fourth-degree Painlevé-type equations [PDF]
, 2001 Transformations that involve a Fuchsian-type equation are used to obtain one-to-one correspondence between the Painlevé I-IV equations and certain second-order fourth-degree Painlevé-type equations.Transformations that involve a Fuchsian-type equation ...
Sakka, A.
core +1 more source
Bäcklund Transformations for First and Second Painlevé Hierarchies
Symmetry, Integrability and Geometry: Methods and Applications, 2009 We give Bäcklund transformations for first and second Painlevé hierarchies. These Bäcklund transformations are generalization of known Bäcklund transformations of the first and second Painlevé equations and they relate the considered hierarchies to new ...
Ayman Hashem Sakka
doaj +1 more source
40 bilinear relations of q-Painlevé VI from N $$ \mathcal{N} $$ = 4 super Chern-Simons theory
Journal of High Energy Physics, 2023 We investigate partition functions of the circular-quiver supersymmetric Chern-Simons theory which corresponds to the q-deformed Painlevé VI equation.
Sanefumi Moriyama, Tomoki Nosaka
doaj +1 more source
A complete and partial integrability technique of the Lorenz system
Results in Physics, 2018 In this paper we deal with the well-known nonlinear Lorenz system that describes the deterministic chaos phenomenon. We consider an interesting problem with time-varying phenomena in quantum optics. Then we establish from the motion equations the passage
Lazhar Bougoffa +2 more
doaj +1 more source
A Splitting Architecture for Exact Reduced Coulomb Friction
Computer Graphics Forum, EarlyView.Abstract Existing approaches to frictional contact dynamics typically either modify the Coulomb law to improve numerical robustness or solve the exact law in a fully coupled monolithic form. However, in its reduced form, exact Coulomb friction can be written as a cone complementarity problem with an augmented velocity, which reveals a natural split ...
Hongcheng Song +3 more
wiley +1 more source
Discrete Painlevé equation, Miwa variables and string equation in 5d matrix models
Journal of High Energy Physics, 2019 The modern version of conformal matrix model (CMM) describes conformal blocks in the Dijkgraaf-Vafa phase. Therefore it possesses a determinant representation and becomes a Toda chain T-function only after a peculiar Fourier transform in internal ...
A. Mironov, A. Morozov, Z. Zakirova
doaj +1 more source
Edge Density Expansions for the Classical Gaussian and Laguerre Ensembles
Studies in Applied Mathematics, Volume 157, Issue 3, September 2026.ABSTRACT Recent work of Bornemann has uncovered hitherto hidden integrable structures relating to the asymptotic expansion of quantities at the soft edge of the Gaussian and Laguerre random matrix ensembles. These quantities are spacing distributions and the eigenvalue density, and the findings cover the cases of the three symmetry classes: orthogonal,
Peter J. Forrester +2 more
wiley +1 more source
Engineering Reports, Volume 8, Issue 7, July 2026.Analytical fuzzy soliton solutions of a modified space–time fractional ϕ4$$ {\phi}^4 $$ model are derived using EHFM, capturing memory effects and uncertainty. Results reveal diverse wave structures and show how fractional order and fuzziness significantly influence soliton amplitude, localization, and propagation, with heightened sensitivity near the ...
Mohsin Khalid +3 more
wiley +1 more source
, 2002 We give Bäcklund transformations for the Painlevé I and Painlevé II equations to second-order and higher degree equations of Painlevé type.We give Bäcklund transformations for the Painlevé I and Painlevé II equations to second-order and higher degree ...
Sakka, A.
core +1 more source