Results 41 to 50 of about 22,025,942 (161)
Counting problems for orthogonal sets and sublattices in function fields
Mathematika, Volume 72, Issue 2, April 2026.Abstract Let K=Fq((x−1))$\mathcal {K}=\mathbb {F}_q((x^{-1}))$. Analogous to orthogonality in the Euclidean space Rn$\mathbb {R}^n$, there exists a well‐studied notion of ultrametric orthogonality in Kn$\mathcal {K}^n$. In this paper, we extend the work of [4] on counting problems related to orthogonality in Kn$\mathcal {K}^n$.
Noy Soffer Aranov, Angelot Behajaina
wiley +1 more source
Analysis of Singular Solutions of Certain Painlevé Equations [PDF]
, 2018 The six Painlevé equations can be described as the boundary between the non- integrable- and the trivially integrable-systems. Ever since their discovery they have found numerous applications in mathematics and physics.
Twiton, Michael
core
Painlevé analysis and complete integrability of coupled Klein-Gordon equations
, 1995 We apply the Painlevé singularity structure analysis to the nonlinear coupled Klein-Gordon equations and to their hierarchies and find that they admit the Painlevé property.
Alagesan, T. +3 more
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Painlevé equations—nonlinear special functions [PDF]
, 2003 The six Painlevé equations (PI–PVI) were first discovered about a hundred years ago by Painlevéand his colleagues in an investigation of nonlinear second-order ordinary differential equations.
Clarkson, Peter +2 more
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On matrix fourth Painlevé hierarchies
, 2021 The work of PRG and AP is supported by the Ministry of Economy and Competitiveness of Spain under contract MTM2016-80276-P (AEI/FEDER, EU).We define new matrix fourth Painlevé hierarchies and a new matrix second Painlevé hierarchy.
Gordoa, Pilar R, Pickering, Andrew
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C∞‐Structures for Liénard Equations and New Exact Solutions to a Class of Klein–Gordon Equations
Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 2795-2822, 15 March 2026.ABSTRACT Liénard equations are analyzed using the recent theory of 𝒞∞‐structures. For each Liénard equation, a 𝒞∞‐structure is determined by using a Lie point symmetry and a 𝒞∞‐symmetry. Based on this approach, a novel method for integrating these equations is proposed, which consists in solving sequentially two completely integrable Pfaffian equations.
Beltrán de la Flor +2 more
wiley +1 more source
Deformation of Okamoto–Painlevé pairs and Painlevé equations
, 2001 In this paper, we introduce the notion of a generalized rational Okamoto–Painlevé pair ( S , Y ) (S, Y) by generalizing the notion of the spaces of initial conditions of Painlevé equations.
Taro Takebe +2 more
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Joint distribution of Hecke eigenforms on H3$ \mathbb {H}^3$
Mathematische Nachrichten, Volume 299, Issue 3, Page 661-674, March 2026.Abstract We prove a joint value equidistribution statement for Hecke–Maaß cusp forms on the hyperbolic three‐space H3$\mathbb {H}^3$. This supports the conjectural statistical independence of orthogonal cusp forms.
Didier Lesesvre +2 more
wiley +1 more source
Alexandria Engineering JournalThis study delves into the exploration of the dynamics of (3+1)-dimensional Painlevé integrable generalized model from different perspectives, which delineates the evolution of nonlinear phenomena in three spatial dimensions and one temporal dimension ...
Adil Jhangeer +4 more
doaj +1 more source
Maxwell wave packets in de Sitter expanding universe
European Physical Journal C: Particles and Fields, 2021 We study for the first time the propagation of the packets of plane waves of the Maxwell free field in the de Sitter expanding universe as detected by an observer staying at rest in his proper frame with physical de Sitter–Painlevé coordinates.
Ion I. Cotăescu, Ion Cotăescu
doaj +1 more source