Results 61 to 70 of about 1,141,931 (185)
NEW EXAMPLE OF FINITE-DIMENSIONAL REDUCTION OF A DISCRETE CHAIN OF THE TODA CHAIN TYPE
Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020 Background. Integrable discrete equations considered in the framework of the numerical study of their continuous analogs. Same time continuous equations obtained using the limit from the discrete systems.
T. G. Kazakova, R. R. Sattarova
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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
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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
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Scissors congruence K$K$‐theory for equivariant manifolds
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract We introduce a scissors congruence K$K$‐theory spectrum that lifts the equivariant scissors congruence groups for compact G$G$‐manifolds with boundary, and we show that on π0$\pi _0$, this is the source of a spectrum‐level lift of the Burnside ring‐valued equivariant Euler characteristic of a compact G$G$‐manifold.
Mona Merling +4 more
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Vector perturbations of Kerr-AdS5 and the Painlevé VI transcendent
Journal of High Energy Physics, 2020 We analyze the Ansatz of separability for Maxwell equations in generically spinning, five-dimensional Kerr-AdS black holes. We find that the parameter μ introduced in [1] can be interpreted as apparent singularities of the resulting radial and angular ...
Julián Barragán Amado +2 more
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Ramified Asymptotic Expansions for Some Linear Initial Value Problem With Mahler Transforms
Abstract and Applied Analysis, Volume 2026, Issue 1, 2026.We focus on a linear partial differential initial value problem in complex time t and complex space combined with time acting Mahler transforms. Bounded holomorphic solutions on bounded sectors edged at the origin in time and on horizontal strips in space are constructed by means of infinite sums of Fourier–Laplace transforms.
Stéphane Malek, Deepali Deepali
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Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.This research work provides a comprehensive investigation of the M‐fractional paraxial wave equation (M‐fPWE) in describing complex optical phenomena in telecommunication systems and nonlinear media, focusing on the dynamical analysis of optical soliton solutions, the impact of M‐fractional parameters, stability, multistability, and the chaotic nature ...
Md. Mamunur Roshid +5 more
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Do All Integrable Evolution Equations Have the Painlevé Property?
Symmetry, Integrability and Geometry: Methods and Applications, 2007 We examine whether the Painlevé property is necessary for the integrability of partial differential equations (PDEs). We show that in analogy to what happens in the case of ordinary differential equations (ODEs) there exists a class of PDEs, integrable ...
K.M. Tamizhmani +2 more
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Impact of the Properties of Microstructured Solids on the Propagation of Hybrid Solitary Waves
International Journal of Differential Equations, Volume 2026, Issue 1, 2026.Microstructured solids exhibit complex wave propagation dynamics due to the interplay between nonlinearity, dispersion, dissipation, and higher‐order spatiotemporal effects induced by their internal architecture. In this work, we investigate how these properties influence the propagation of hybrid solitary waves governed by a generalized strain‐wave ...
Stallon Mezezem Songna +3 more
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Moduli Spaces for Linear Differential Equations and the Painlevé Equations [PDF]
, 2009 A systematic construction of isomonodromic families of connections of rank two on the Riemann sphere is obtained by considering the analytic Riemann-Hilbert map RH : M → R, where M is a moduli space of connections and R, the monodromy space, is a moduli ...
van der Put, Marius +5 more
core +2 more sources