Exact analytic solutions of unsolvable classes of first- and second-order nonlinear ODEs (Part II: Emden-Fowler and relative equations)

Panayotounakos, DE; Sotiropoulos, N

dc.contributor.author	Panayotounakos, DE	en
dc.contributor.author	Sotiropoulos, N	en
dc.date.accessioned	2014-03-01T01:22:19Z
dc.date.available	2014-03-01T01:22:19Z
dc.date.issued	2005	en
dc.identifier.issn	0893-9659	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16531
dc.subject	Emde-Fowler's equations	en
dc.subject	Exact analytic solutions	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	Bessel functions	en
dc.subject.other	Diffusion	en
dc.subject.other	Mathematical transformations	en
dc.subject.other	Nonlinear equations	en
dc.subject.other	Problem solving	en
dc.subject.other	Abel equations	en
dc.subject.other	Emden-Fowler's equations	en
dc.subject.other	Exact analytic solutions	en
dc.subject.other	Nonlinear gas diffusion equation	en
dc.subject.other	Ordinary differential equations	en
dc.title	Exact analytic solutions of unsolvable classes of first- and second-order nonlinear ODEs (Part II: Emden-Fowler and relative equations)	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.aml.2004.09.005	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.aml.2004.09.005	en
heal.language	English	en
heal.publicationDate	2005	en
heal.abstract	Both Emden-Fowler and generalized Emden-Fowler nonlinear ordinary differential equations (ODEs) are reduced to Abel's equation of the second kind by means of admissible functional transformations. Since in Part I a mathematical technique is developed leading to the construction of exact analytic solutions of the above Abel equation, it follows that the Emden-Fowler equations admit exact analytic solutions too. In this sense several basic particular nonlinear ODEs in mathematical physics are examined. (c) 2004 Elsevier Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Applied Mathematics Letters	en
dc.identifier.doi	10.1016/j.aml.2004.09.005	en
dc.identifier.isi	ISI:000228110600001	en
dc.identifier.volume	18	en
dc.identifier.issue	4	en
dc.identifier.spage	367	en
dc.identifier.epage	374	en