Similarity reductions and exact solutions for two-dimensional Euler–Boussinesq equations

En Gui FAN, Man Wai YUEN

Research output: Contribution to journalArticles

Abstract

In this paper, by introducing a stream function and new coordinates, we transform classical Euler–Boussinesq equations into a vorticity form. We further construct traveling wave solutions and similarity reduction for the vorticity form of Euler–Boussinesq equations. In fact, our similarity reduction provides a kind of linearization transformation of Euler–Boussinesq equations. Copyright © 2019 World Scientific Publishing Co Pte Ltd.
Original languageEnglish
Article number1950328
JournalModern Physics Letters B
Volume33
Issue number27
Early online date10 Sep 2019
DOIs
Publication statusPublished - 30 Sep 2019

Citation

Fan, E. G., & Yuen, M. W. (2019). Similarity reductions and exact solutions for two-dimensional Euler–Boussinesq equations. Modern Physics Letters B, 33(27). Retrieved from https://doi.org/10.1142/S0217984919503287

Keywords

  • Euler–Boussinesq equations without viscosity
  • Traveling solution
  • Similarity reductions
  • Linearization

Fingerprint Dive into the research topics of 'Similarity reductions and exact solutions for two-dimensional Euler–Boussinesq equations'. Together they form a unique fingerprint.