The techniques of an invertible point transformation and the Painleve analysis can be used to construct integrable ordinary differential equations. The authors compare both techniques for anharmonic oscillators.

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Duarte et al. (Sat,) studied this question.

synapsesocial.com/papers/6a203ef14f213cc4928fd67e https://doi.org/https://doi.org/10.1088/0305-4470/23/8/019

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1n-dimensional equations with the maximum number of symmetry generators1989 · 16 citations
2On exact solutions for damped anharmonic oscillators1989 · 25 citations
3Analytic structure of the Lorenz system1981 · 164 citations
4Introduction to Nonlinear Differential and Integral Equations.1964 · 1,356 citations
5First integrals for the modified Emden equation q+α(t) q+q n =01985 · 117 citations

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1n-dimensional equations with the maximum number of symmetry generators1989 · 16 citations
2On exact solutions for damped anharmonic oscillators1989 · 25 citations
3Analytic structure of the Lorenz system1981 · 164 citations
4Introduction to Nonlinear Differential and Integral Equations.1964 · 1,356 citations
5First integrals for the modified Emden equation q+α(t) q+q n =01985 · 117 citations