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.
CitationFan, 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
- Euler–Boussinesq equations without viscosity
- Traveling solution
- Similarity reductions