Hypergeometric solutions to the q-Painlevé equations
Kyushu University 21st Century COE Program Development of Dynamic Mathematics with High Functionality九州大学21世紀COEプログラム「機能数理学の構築と展開」Hypergeometric solutions to seven q-Painlevé equations in Sakai\u27s classification are constructed.
梶原, 健司 +9 more
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Discrete Equations from BäckLund Transformations of the Fifth Painlevé Equation. [PDF]
Clarkson PA, Dunning C, Mitchell B.
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A computational exploration of Newton polygons for Painlevé and quasi-Painlevé equations
The Painlevé equations are cornerstones of modern mathematical physics, governing phenomena from random matrix spectra to soliton dynamics and quantum gravity.
Marta Dell'Atti, Galina Filipuk
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Fully Well-Balanced Methods for Schwarzschild-Euler Equation in Gullstrand-Painlevé Coordinates. [PDF]
Pimentel-García E +3 more
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An analytical exploration of dark and bright solitary wave solutions of time-fractional (3+1) -dimensional generalized Painlevé-type equation. [PDF]
Khan M, Ali R, Alsulami IM, Alsulami A.
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Joyce structures and poles of Painlevé equations
Joyce structures are a class of geometric structures that first arose in relation to Donaldson-Thomas theory. There is a special class of examples, called class S[A1], whose underlying manifold parameterises Riemann surfaces of some fixed genus equipped ...
Bridgeland, Tom +1 more
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Dromion solutions for system of ion sound and Langmuir waves using truncated Painlevé approach. [PDF]
Iqbal M +5 more
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Orthogonal Polynomials with Singularly Perturbed Freud Weights. [PDF]
Min C, Wang L.
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Joyce Structures from Quadratic Differentials on the Sphere. [PDF]
Moy T.
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Developing a Gudermannian neural network for solving the Painlevé model-II in the context of nonlinear optics. [PDF]
Faisal S +4 more
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