Results 41 to 50 of about 1,222,314 (174)
Painlevé analysis of the inhomogeneous Kadomtsev-Petviashvili equation [PDF]
, 1996 The complete integrability aspects of a variable coefficient Kadomtsev-Perviashvili equation is analysed from the point of view of the Painlevé analysis.
Uthayakumar, A., Porsezian, K.
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On a Neumann boundary value problem for Ermakov–Painlevé III
Electronic Journal of Qualitative Theory of Differential Equations, 2019 A Neumann-type boundary value problem is investigated for a hybrid Ermakov–Painlevé equation. Existence properties are established and a sequence of approximate solutions is investigated.
Pablo Amster, Colin Rogers
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Littlewood, Paley and almost‐orthogonality: a theory well ahead of its time
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract The classic paper by Littlewood and Paley [J. Lond. Math. Soc. (1), 6 (1931), 230–233] marked the birth of Littlewood–Paley theory. We discuss this paper and its impact from a historical perspective, include an outline of the results in the paper and their subsequent significance in relation to developments over the last century, and set them ...
Anthony Carbery
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Noncommutative polygonal cluster algebras
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract We define a new family of noncommutative generalizations of cluster algebras called polygonal cluster algebras. These algebras generalize the noncommutative surfaces of Berenstein–Retakh, and are inspired by the emerging theory of Θ$\Theta$‐positivity for the groups Spin(p,q)$\mathrm{Spin}(p,q)$.
Zachary Greenberg +3 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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Sublinear bilipschitz equivalence and the quasiisometric classification of solvable Lie groups
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract We prove a product theorem for sublinear bilipschitz equivalences which generalizes the classical work of Kapovich, Kleiner, and Leeb on quasiisometries between product spaces. We employ our product theorem to distinguish up to quasiisometry certain families of solvable groups which share the same dimension, cone‐dimension and Dehn function ...
Ido Grayevsky, Gabriel Pallier
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Singular Normal Form For The Painlevé Equation P1
, 1998 We show that there exists a rational change of coordinates of Painlevé's P1 equation y 00 = 6y 2 +x and of the elliptic equation y 00 = 6y 2 after which these two equations become analytically equivalent in a region in the complex phase ...
Rodica D Costin +3 more
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The Painlevé Analysis Of The Zakharov-Kuznetsov Equation
, 1990 In this paper we make a Painlevé analysis of the Zakharov-Kuznetsov equation (which governs nonlinear ion-acoustic waves in a magnetized plasma) and show that it possesses the Painlevé property though there is no other evidence that this equation is ...
Shivamoggi, Bhimsen K.
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A Particular Solution of a Painlevé System in Terms of the Hypergeometric Function {}_{n+1}F_n
Symmetry, Integrability and Geometry: Methods and Applications, 2010 In a recent work, we proposed the coupled Painlevé VI system with A_{2n+1}^{(1)}-symmetry, which is a higher order generalization of the sixth Painlevé equation (P_{VI}).
Takao Suzuki
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Justification of the existence of a group of asymptotics of the general fifth Painlevé transcendent
International Journal of Mathematics and Mathematical Sciences, 2004 There are several existing ways in developing the asymptotics of the Painlevé transcendents. But it is always a hard task to justify the existence of these asymptotics.
Youmin Lu, Zhoude Shao
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