Results 61 to 70 of about 1,222,314 (174)
Simplification of exponential factors of irregular connections on P1${\mathbb {P}}^1$
Bulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.Abstract We give an explicit algorithm to reduce the ramification order of any exponential factor of an irregular connection on P1$\mathbb {P}^1$, using the same types of basic operations as in the Katz–Deligne–Arinkin algorithm for rigid irregular connections.
Jean Douçot
wiley +1 more source
AIP Advances, 2016 The N = 1 supersymmetric mKdVB system is transformed to a coupled bosonic system by using the bosonization approach.
Bo Ren
doaj +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
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Flat structure and potential vector fields related with algebraic solutions to Painlevé VI equation [PDF]
Opuscula Mathematica, 2018 A potential vector field is a solution of an extended WDVV equation which is a generalization of a WDVV equation. It is expected that potential vector fields corresponding to algebraic solutions of Painlevé VI equation can be written by using ...
Mitsuo Kato +2 more
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On moments of the derivative of CUE characteristic polynomials and the Riemann zeta function
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract We study the derivative of the characteristic polynomial of N×N$N \times N$ Haar‐distributed unitary matrices. We obtain new explicit formulae for complex‐valued moments when the spectral variable is inside the unit disc, in the limit N→∞$N \rightarrow \infty$.
Nicholas Simm, Fei Wei
wiley +1 more source
The Elliptic Painlevé Lax Equation vs. van Diejen's 8-Coupling Elliptic Hamiltonian [PDF]
, 2020 The 8-parameter elliptic Sakai difference Painlevé equation admits a Lax formulation. We show that a suitable specialization of the Lax equation gives rise to the time-independent Schrödinger equation for the BC1 8-parameter 'relativistic' Calogero-Moser
Noumi, Masatoshi +5 more
core +1 more source
Bäcklund Transformation and New Exact Solutions of the Sharma-Tasso-Olver Equation
Abstract and Applied Analysis, 2011 The Sharma-Tasso-Olver (STO) equation is investigated. The Painlevé analysis is efficiently used for analytic study of this equation. The Bäcklund transformations and some new exact solutions are formally derived.
Lin Jianming, Ding Jie, Yuan Wenjun
doaj +1 more source
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract We study the multiplicative statistics associated to the limiting determinantal point process describing eigenvalues of unitary random matrices with a critical edge point, where the limiting eigenvalue density vanishes like a power 5/2. We prove that these statistics are governed by the first three equations of the Korteweg‐de‐Vries (KdV ...
Mattia Cafasso +1 more
wiley +1 more source
Retrieval of Chaotic structure along with P-test to Truncated M-fractional Paraxial wave model
Franklin OpenThe Painlevé analysis has attracted considerable attention in the age of mathematical and physical sciences as a crucial method for analyzing FNLPDEs. This methodology is an effective way to assess if a given differential equation ensures the Painlevé ...
Rashida Hussain +3 more
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Complexity, 2019 The residual symmetry of a (3+1)-dimensional Korteweg-de Vries (KdV)-like equation is constructed using the truncated Painlevé expansion. Such residual symmetry can be localized and the (3+1)-dimensional KdV-like equation is extended into an enlarged ...
Zheng-Yi Ma +3 more
doaj +1 more source