Results 71 to 80 of about 1,141,931 (185)
The power expansions of the solutions of the first painlevé hierarchy
Mathematical Modelling and Analysis, 2006 In this paper we consider a hierarchy of the first Painlevé equation's higher order analogues. For these equations three types of power expansions, i.e. holomorphic, polar and asymptotic are found.
A. A. Grigor'ev, V. I. Gromak
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This study presents the dynamic analysis of stochastic fractional unstable nonlinear Schrödinger equation (SFuNLSE), focusing on the analysis of bifurcation, chaotic nature, return map, recurrence plots, strange attractor, basin attractor, power spectrum, chaotic nature and also finds the exact optical soliton solution with multiplicative noise ...
Md. Mamunur Roshid +3 more
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Non-Abelian Painlevé equations
, 2023 Des extensions non abéliennes de divers systèmes intégrables constituent l'un des centres d'intérêt de la physique mathématique moderne. En raison du lien étroit entre les modèles intégrables et les équations de Painlevé, ces dernières constituent un bon
Bobrova, Irina
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Painlevé equations in differential geometry of surfaces
, 2000 This book brings together two different branches of mathematics: the theory of Painlevé and the theory of surfaces. Self-contained introductions to both these fields are presented.
Bobenko, Alexander I +3 more
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Integrable Discrete Equations Derived by Similarity Reduction of the Extended Discrete KP Hierarchy
Symmetry, Integrability and Geometry: Methods and Applications, 2006 We consider the extended discrete KP hierarchy and show that similarity reduction of its subhierarchies lead to purely discrete equations with dependence on some number of parameters together with equations governing deformations with respect to these ...
Andrei K. Svinin
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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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An analog of the Cauchy formula for certain Beltrami equations
Учёные записки Казанского университета: Серия Физико-математические науки, 2019 The Beltrami differential equations are intrinsic generalizations of the Cauchy–Riemann system in complex analysis. Their solutions generalize holomorphic functions. As known, solutions to many problems of the complex analysis are based on application of
D.B. Katz, B.A. Kats
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International Journal of Mathematics and Mathematical SciencesThe Painlevé equations and their series and rational solutions are essential in applied, pure mathematics and theoretical physics. Recently, quantum algorithms have helped to implement numerical algorithms more easily by performing linear algebra in our ...
Saeid Abbasbandy
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Projective Differential Geometrical Structure of the Painlevé Equations [PDF]
, 1999 The necessary and sufficient conditions that an equation of the form y″=f(x, y, y′) can be reduced to one of the Painlevé equations under a general point transformation are obtained. A procedure to check these conditions is found.
Babich, M.V., Bordag, L.A.
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Classification of Real Solutions of the Fourth Painlevé Equation
MathematicsPainlevé transcendents are usually considered as complex functions of a complex variable, but, in applications, it is often the real cases that are of interest.
Jeremy Schiff, Michael Twiton
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