Linearisable third order ordinary differential equations and generalised Sundman transformations

Details Linearisable third order ordinary differential equations and generalised Sundman transformations Linearisable third order ordinary differential equations and generalised Sundman transformations

2002-03-14

arxiv.org/abs/nlin/0203028v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

33 pages

Scientific paper

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.

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