Construction of exact parametric or closed form solutions of some unsolvable classes of nonlinear ODEs (Abel's nonlinear ODEs of the first kind and relative degenerate equations)

DOI10.1155/2011/387429zbMath1238.34002OpenAlexW2037347055WikidataQ21296790 ScholiaQ21296790MaRDI QIDQ763023

Theodoros I. Zarmpoutis, Dimitrios E. Panayotounakos

Publication date: 8 March 2012

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/387429

zbMATH Keywords

Bessel functions

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Explicit solutions, first integrals of ordinary differential equations (34A05)

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Cites Work

• On the construction of the exact analytic or parametric closed-form solutions of standing waves concerning the cubic nonlinear Schrödinger equation
• Closed-form solutions of certain Abel equations of the first kind
• Abel ODEs: Equivalence and integrable classes
• Symmetry Analysis of Abel's Equation
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