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Asymptotic properties of the differential equation $h^3(h''+h')=1$

Mathematical Physics 2016-08-16 v1 Dynamical Systems math.MP

Abstract

We derive the form of the asymptotic series, as t+t\to +\infty, for a general solution h(t)h(t) of the non-linear differential equation h(t)3(h(t)+h(t))=1h(t)^{3}(h''(t)+h'(t))=1.

Keywords

Cite

@article{arxiv.math-ph/0110029,
  title  = {Asymptotic properties of the differential equation $h^3(h''+h')=1$},
  author = {J. Asch and R. D. Benguria and P. Šťovíček},
  journal= {arXiv preprint arXiv:math-ph/0110029},
  year   = {2016}
}