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Integrability analysis of the Emden-Fowler equation (Q3607666)

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Language	Label	Description	Also known as
English	Integrability analysis of the Emden-Fowler equation	scientific article

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scholarly article

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Integrability analysis of the Emden-Fowler equation (English)

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Journal of Nonlinear Mathematical Physics

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publication date

26 February 2009

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full work available at URL

http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.689.3897

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zbMATH Keywords

Emden-Fowler equation

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Lie analysis

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Painlevé analysis

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integrability

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ordinary differential equations

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Keshlan S. Govinder

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Peter G. L. Leach

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MaRDI profile type

MaRDI publication profile

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Hidden symmetries associated with the projective group of nonlinear first-order ordinary differential equations

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Symmetry and singularity properties of second-order ordinary differential equations of Lie's Type III.

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Transformation Properties of x'' + f_1(t)x' + f2(t)x + f3(t)x^n = 0

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Singular perturbation to shock wave solutions of Burgers KdV-equation.

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On the singularity analysis of ordinary differential equations invariant under time translation and rescaling

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FURTHER STUDIES OF EMDEN'S AND SIMILAR DIFFERENTIAL EQUATIONS

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Integrability analysis of a conformal equation in relativity

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On the determination of non-local symmetries

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An Elementary Demonstration of the Existence of $s\ell(3,R)$ Symmetry for all Second-Order Linear Ordinary Differential Equations

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Hidden symmetries of energy-conserving differential equations

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LIE, a PC program for Lie analysis of differential equations

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Connection between the existence of first integrals and the painlevé property in two-dimensional lotka-volterra and quadratic systems

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Equivalent Lagrangians and the solution of some classes of non-linear equations \(\ddot q + p(t)\dot q + r(t)q = \mu \dot q^ 2 q^{-1} + f(t)q^ n\)

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A note on the solutions of the Emden-Fowler equation

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First integrals for the modified Emden equation <i>q</i>̈+α(<i>t</i>) <i>q</i>̇+<i>q</i> <i>n</i> =0

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Self-similar solutions of the generalized Emden-Fowler equation

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The Painleve test, hidden symmetries and the equation y"+yy'+Ky<sup>3</sup>=0

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The Lie analysis and solutions for a class of second-order nonlinear ordinary differential equations

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Properties of the Dominant Behaviour of Quadratic Systems

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Symmetry Lie algebras of \(n\)th order ordinary differential equations

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Shear-free spherically symmetric solutions with conformal symmetry

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Solution of generalized Emden-Fowler equations with two symmetries

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The nonlinear differential equation 𝑦”+𝑝(𝑥)𝑦+𝑐𝑦⁻³=0

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Exact solutions for shear-free motion of spherically symmetric perfect fluid distributions in general relativity

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On the Generalized Emden–Fowler Equation

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Identifiers

zbMATH Open document ID

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10.2991/jnmp.2007.14.3.10

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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:3607666

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