On the Darboux integrability of Blasius and Falkner-Skan equation

Jaume Llibre, Claudia Valls

Research output: Contribution to journalArticleResearchpeer-review

Abstract

We study the Darboux integrability of the celebrated Falkner-Skan equation f ‴ + ff ″ + λ(1 - f '2) = 0, where λ is a parameter. When λ=0 this equation is known as Blasius equation. We show that both differential systems have no first integrals of Darboux type. Additionally we compute all the Darboux polynomials and all the exponential factors of these differential equations. © 2013 Elsevier Ltd.
Original languageEnglish
Pages (from-to)71-76
JournalComputers and Fluids
Volume86
DOIs
Publication statusPublished - 5 Nov 2013

Keywords

  • Blasius equation
  • Darboux polynomials
  • Falkner-Skan equation
  • Integrability

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