Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10678364 | Applied Mathematics Letters | 2005 | 8 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Dimitrios E. Panayotounakos, Nikos Sotiropoulos,