On the General Solution to the Bratu and Generalized Bratu Equations
Lucas Hervé Koudahoun1, Jean Akande1, Damien Kêgnidé Kolawolé Adjaï1, Yélomè Judicaël Fernando Kpomahou2 & Marc Delphin Monsia1 Show affiliations
- University of Abomey-Calavi, Benin
- University of Abomey, Benin
Journal of Mathematics and Statistics, Volume 14, Issue 1, pp. 193–200 · doi.org/10.3844/jmssp.2018.193.200
Abstract
This work shows that the Bratu equation belongs to a general class of Liénard-type equations for which the general solution may be exactly and explicitly computed within the framework of the generalized Sundman transformation. In this perspective the exact solution of the Bratu nonlinear two-point boundary value problem as well as of some well-known Bratu-type problems have been determined.
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Koudahoun, L. H., Akande, J., Kolawolé Adjaï, D. K., Kpomahou, Y. J. F. & Monsia, M. D. (2018). On the General Solution to the Bratu and Generalized Bratu Equations. Journal of Mathematics and Statistics, 14(1), 193–200. https://doi.org/10.3844/jmssp.2018.193.200
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