English

On exact and perturbation solutions to nonlinear equations for heat transfer models

Mathematical Physics 2009-11-03 v2 math.MP

Abstract

We analyze some exact and approximate solutions to nonlinear equations for heat transfer models. We prove that recent results derived from a method based on Lie algebras are either trivial or wrong. We test a simple analytical expression based on the hypervirial theorem and also discuss earlier perturbation results.

Keywords

Cite

@article{arxiv.0911.0194,
  title  = {On exact and perturbation solutions to nonlinear equations for heat transfer models},
  author = {Francisco M. Fernández},
  journal= {arXiv preprint arXiv:0911.0194},
  year   = {2009}
}