Article ID Journal Published Year Pages File Type
10678364 Applied Mathematics Letters 2005 8 Pages PDF
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.
Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
Authors
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