Results 51 to 60 of about 1,141,931 (185)
From Continuous to Discrete Painlevé Equations [PDF]
, 1993 Discrete analogues of the Painlevé equations have recently been derived using either a method based on orthogonal polynomials or the singularity confinement method.
Fokas, A.S., Grammaticos, B., Ramani, A.
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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
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Meromorphic solutions to difference Painleve equations I and II
Electronic Journal of Differential Equations, 2016 In this article, we study the solutions of difference Painleve equations I and II. to do this, we first give some properties of solutions to difference Riccati equations.
Zhi-Tao Wen
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Existence of rational solutions for q-difference Painleve equations
Electronic Journal of Differential Equations, 2020 This article studies properties of meromorphic solutions for several types of q-difference Painleve equations. We obtain conditions for the existence, and the form of rational solutions for two classes of q-difference Painleve equations.
Hong Yan Xu, Jin Tu
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Nuclear Physics B, 2020 In this work we develop two new (2+1) and (3+1)-dimensional KdV equations with constant and time-dependent coefficients. The integrability of each established equation is investigated via using the Painlevé test.
Abdul-Majid Wazwaz
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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
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Bäcklund transformation of Frobenius Painlevé equations
, 2018 In this paper, in order to generalize the Painlevé equations, we give a [Formula: see text]-Painlevé IV equation which can apply Bäcklund transformations to explore.
Chuanzhong Li, Haifeng Wang
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Noûs, Volume 60, Issue 1, Page 136-160, March 2026.Abstract It is well‐recognized in the sciences that a multitude of nonequivalent models are used by researchers to fulfill a range of goals, even for the same target system, a result known broadly as model pluralism. The possibility of the same form of pluralism occurring in logic, however, has not been adequately considered.
Ben Martin
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On Properties of Meromorphic Solutions of Certain Difference Painlevé III Equations
Abstract and Applied Analysis, 2014 We mainly study the exponents of convergence of zeros and poles of difference and divided difference of transcendental meromorphic solutions for certain difference Painlevé III equations.
Shuang-Ting Lan, Zong-Xuan Chen
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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
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