Use of a Strongly Nonlinear Gambier Equation for the Construction of Exact Closed Form Solutions of Nonlinear ODEs

Abstract

We establish an analytical method leading to a more general form of the exact solution of a nonlinear ODE of the second order due to Gambier. The treatment is based on the introduction and determination of a new function, by means of which the solution of the original equation is expressed. This treatment is applied to another nonlinear equation, subjected… (More)
DOI: 10.1155/2007/59619

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Cite this paper

@article{Markakis2007UseOA, title={Use of a Strongly Nonlinear Gambier Equation for the Construction of Exact Closed Form Solutions of Nonlinear ODEs}, author={Michail P. Markakis}, journal={Int. J. Math. Mathematical Sciences}, year={2007}, volume={2007}, pages={59619:1-59619:25} }