Results 81 to 90 of about 1,222,314 (174)
Mathematical Modelling and Analysis, 1997 „On general representation of the meromorphic solutions of higher analogues of the second painleve equation" Mathematical Modelling Analysis, 2(1), p.61-65 First Published Online: 14 Oct ...
V. I. Gromak, T. S. Stepanova
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Affine symmetries for ABJM partition function and its generalization
Journal of High Energy PhysicsPartially motivated by the fact that the grand partition function of the ABJM theory or its generalization is expressed by a spectral operator enjoying symmetries of the Weyl group, it was found that the grand partition function satisfies the q-Painlevé ...
Sanefumi Moriyama, Tomoki Nosaka
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Series Solution for Painlevé Equation II
Walailak Journal of Science and Technology, 2014 The Painlev'e equations are second order ordinary differential equations which can be grouped into six families, namely Painlev'e equation I, II,…, VI.
Fazle MABOOD +3 more
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Second-order fourth-degree Painlevé-type equations [PDF]
, 2001 Transformations that involve a Fuchsian-type equation are used to obtain one-to-one correspondence between the Painlevé I-IV equations and certain second-order fourth-degree Painlevé-type equations.Transformations that involve a Fuchsian-type equation ...
Sakka, A.
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The Elliptic Representation of the General Painlevé VI Equation
, 2002 In this paper we study the analytic properties of elliptic representation of the general sixth Painlevé equation.
Guzzetti, Davide
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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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Painlevé analysis of a new integrable nonautonomous Korteweg-de Vries (K-dV) equation
, 1997 The Painlevé (P-) analysis of a new integrable nonautonomous K-dV equation is performed and it is shown that the equation does possess the P-property.
Alagesan, T. +5 more
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Middle Convolution and Heun's Equation
Symmetry, Integrability and Geometry: Methods and Applications, 2009 Heun's equation naturally appears as special cases of Fuchsian system of differential equations of rank two with four singularities by introducing the space of initial conditions of the sixth Painlevé equation.
Kouichi Takemura
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The fourth Painlevé equation and associated special polynomials
, 2003 In this article rational solutions and associated polynomials for the fourth Painlevé equation are studied. These rational solutions of the fourth Painlevé equation are expressible as the logarithmic derivative of special polynomials, the Okamoto ...
Clarkson, Peter, Peter A. Clarkson
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AxiomsThis paper focuses on the variable coefficients geophysical KdV (VCGKdV) equation, which involves time-dependent perturbation, nonlinearity and dispersion parameters.
Rodica Cimpoiasu +2 more
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