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

Applied Mathematics Letters

Volumn 18, Issue 4, 2005, Pages 367-374

  Panayotounakos, Dimitrios E ^a   Sotiropoulos, Nikos ^a  

^a NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

Author keywords

Emde Fowler's equations; Exact analytic solutions

Indexed keywords

BESSEL FUNCTIONS; DIFFUSION; MATHEMATICAL TRANSFORMATIONS; NONLINEAR EQUATIONS; PROBLEM SOLVING;

ABEL EQUATIONS; EMDEN-FOWLER'S EQUATIONS; EXACT ANALYTIC SOLUTIONS; NONLINEAR GAS DIFFUSION EQUATION;

ORDINARY DIFFERENTIAL EQUATIONS;

EID: 14544271394     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aml.2004.09.005     Document Type: Article

References (6)

1. D.E. Panayotounakos, Exact analytic solutions of the Abel nonlinear ODEs (part I), Applied Mathematics Letters (accepted for publication)
2. M.P. Markakis, D.E. Panayotounakos, S. Kitsionas, On the existence of exact analytic solutions for some particular non-linear ODEs in mathematical physics (submitted for publication)
3. A.D. Polyanin, and V.F. Zaitsev Handbook of Exact Solutions for Ordinary Differential Equations 1999 CRC Press New York
4. D.E. Panayotounakos, N.D. Panayotounakou, and A.F. Vakakis On the solution of the unforced damped duffing oscillator with no linear stiffness term Nonlinear Dynamics 28 2002 1 16
5. H.T. Davis Introduction to Nonlinear Differential and Integral Equations 1962 Dover Publ. New York
6. I. Vardoulakis, D.E. Panayotounakos, Nonlinear Gas Pressure Diffusion - Exact Analytic Solutions (submitted for publication)