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Linearisable third order ordinary differential equations and generalised Sundman transformations

Exactly Solvable and Integrable Systems 2007-05-23 v1 Classical Analysis and ODEs
Authors: N. Euler , T. Wolf , P. G. L. Leach , M. Euler
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Abstract

We calculate in detail the conditions which allow the most general third order ordinary differential equation to be linearised in X'''(T)=0 under the transformation X(T)=F(x,t), dT=G(x,t)dt. Further generalisations are considered.

Cite

@article{arxiv.nlin/0203028,
  title  = {Linearisable third order ordinary differential equations and generalised Sundman transformations},
  author = {N. Euler and T. Wolf and P. G. L. Leach and M. Euler},
  journal= {arXiv preprint arXiv:nlin/0203028},
  year   = {2007}
}

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33 pages

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