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A Linearization Approach for Rational Nonlinear Models in Mathematical Physics

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Publication:2913627
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DOI10.1088/0253-6102/57/4/03zbMath1247.34020OpenAlexW2053177981MaRDI QIDQ2913627

Robert A. van Gorder

Publication date: 26 September 2012

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0253-6102/57/4/03


zbMATH Keywords

nonlinear differential equationsperturbation methodPainlevé equations\(\delta\)-expansion


Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Singular perturbation problems for ordinary differential equations in the complex domain (complex WKB, turning points, steepest descent) (34M60)


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Asymptotic solutions for a relativistic formulation of the generalized nonextensive Thomas-Fermi model ⋮ Lane-Emden equations of second kind modelling thermal explosion in infinite cylinder and sphere ⋮ Does the Riemann zeta function satisfy a differential equation?




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