Similarity reductions and new nonlinear exact solutions for the 2D incompressible Euler equations

Engui FAN, Man Wai YUEN

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

For the 2D and 3D Euler equations, their existing exact solutions are often in linear form with respect to variables x, y, z. In this paper, the Clarkson–Kruskal reduction method is applied to reduce the 2D incompressible Euler equations to a system of completely solvable ordinary equations, from which several novel nonlinear exact solutions with respect to the variables x and y are found. Copyright © 2014 Elsevier B.V. All rights reserved.
Original languageEnglish
Pages (from-to)623-626
JournalPhysics Letters A
Volume378
Issue number7-8
DOIs
Publication statusPublished - Jan 2014

Citation

Fan, E., & Yuen, M. (2014). Similarity reductions and new nonlinear exact solutions for the 2D incompressible Euler equations. Physics Letters A, 378(7/8), 623-626.

Keywords

  • Incompressible Euler equations
  • The Clarkson–Kruskal method
  • Similarity reductions
  • Nonlinear exact solutions