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Integrable nonautonomous Liénard-type equations - MaRDI portal

Integrable nonautonomous Liénard-type equations (Q1626672)

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scientific article; zbMATH DE number 6982357

Language	Label	Description	Also known as
English	Integrable nonautonomous Liénard-type equations	scientific article; zbMATH DE number 6982357

Statements

scholarly article

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Integrable nonautonomous Liénard-type equations (English)

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Theoretical and Mathematical Physics

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publication date

21 November 2018

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zbMATH Keywords

Liénard-type equation

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nonlocal transformation

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general solution

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Painlevé-Gambier equation

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Dmitry I. Sinelshchikov

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Nikolai A. Kudryashov

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MaRDI profile type

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Classification of Lie point symmetries for quadratic Liénard type equation $\ddot{x}+f(x)\dot{x}^2+g(x)=0$ẍ+f(x)ẋ2+g(x)=0

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Solving second-order ordinary differential equations by extending the Prelle-Singer method

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An Old Method of Jacobi to Find Lagrangians

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Lagrangians For Equations of Painlevé Type by Means of The Jacobi Last Multiplier

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Seeking (and finding) Lagrangians

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Lagrangians for Dissipative Nonlinear Oscillators: The Method of Jacobi Last Multiplier

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A group theoretical identification of integrable cases of the Liénard-type equation ẍ+f(x)ẋ+g(x)=. I. Equations having nonmaximal number of Lie point symmetries

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A group theoretical identification of integrable equations in the Liénard-type equation ẍ+f(x)ẋ+g(x)=. II. Equations having maximal Lie point symmetries

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Linearization under nonpoint transformations

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Linearization of second-order ordinary differential equations by generalized Sundman transformations

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Application of the Generalised Sundman Transformation to the Linearisation of Two Second-Order Ordinary Differential Equations

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Sundman Symmetries of Nonlinear Second-Order and Third-Order Ordinary Differential Equations

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An alternate view on symmetries of second-order linearisable ordinary differential equations

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On the criteria for integrability of the Liénard equation

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On the integrability conditions for a family of Liénard-type equations

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On connections of the Liénard equation with some equations of Painlevé-Gambier type

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full work available at URL

https://doi.org/10.1134/s0040577918080093

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Identifiers

zbMATH Open document ID

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10.1134/S0040577918080093

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:1626672

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