Similarity reductions for a generalized (3+1)-dimensional variable-coefficient B-type Kadomtsev-Petviashvili equation in fluid dynamics

Rather intriguing, the paper Chin. J. Phys. 73 (2021), 600-612 has studied a (3+1)-dimensional B-type Kadomtsev-Petviashvili equation in fluid dynamics, while fluid dynamics has a wide range of applications, including those for geophysics, mechanical engineering, civil engineering, chemical engineering, astrophysics and biology. In this paper, taking into consideration certain nonlinear waves in fluid dynamics, we investigate a generalized variable-coefficient version of the aforementioned equation. Making use of symbolic computation, with respect to the amplitude or elevation of the relevant wave, we construct out two sets of the similarity reductions, which rely on the variable coefficients in the generalized equation.

Automated summary

This paper discusses a (3+1)-dimensional B-type Kadomtsev-Petviashvili equation in fluid dynamics and presents the similarity reductions based on variable coefficients using symbolic computation.