Mathematical Physics


On the General Solution for the Troesch, Sinh-Poisson and Poisson-Boltzmann Equations

Authors: D. K. K. Adjaï, J. Akande, L. H. Koudahoun, Y. J. F. Kpomahou, M. D. Monsia

This paper shows, for the first time, that the explicit and exact solution to the Troesch nonlinear two-point boundary value problem may be computed in a direct and straightforward fashion from the general solution obtained by a generalized Sundman transformation for the related differential equation, which appeared with the sinh-Poisson and Poisson-Boltzmann equations to be special cases of a more general equation. As a result, various initial and boundary value problems for these equations may be solved explicitly and exactly.

Comments: 4 pages

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Submission history

[v1] 2017-12-12 03:53:52
[v2] 2017-12-19 08:50:20 (removed)
[v3] 2017-12-19 15:09:52

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