Linearization of Emden Differential Equation via the Generalized Sundman Transformations

نویسندگان

چکیده

The Emden differential equation is one of the most widely studied and challenging nonlinear dynamics equations in literature. It finds applications various areas study such as celestial mechanics, fluid Steller structure, isothermal gas spheres, thermionic currents so on. Because importance equation, method generalized Sundman transformation (GST) proposed by Nakpim Meleshko used for linearizing equation. considered here a modification given Berkovic. results obtained this paper imply that cannot be linearized point transformation. general solution modified also obtained.

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ژورنال

عنوان ژورنال: Advances in Pure Mathematics

سال: 2021

ISSN: ['2160-0368', '2160-0384']

DOI: https://doi.org/10.4236/apm.2021.113011