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

    https://doi.org/10.1142/S0217984919503287Cited by:0 (Source: Crossref)

    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.

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