Quantum mechanics

Algorithm

Rogue wave

Similarity (geometry)

Applied mathematics

Computation

Variable (mathematics)

Computer science

Kadomtsev–Petviashvili equation

Statistical physics

Geology

Paleontology

Type (biology)

Physics

Nonlinear system

Chin

Amplitude

Mathematics

Image (mathematics)

Burgers' equation

Mathematical analysis

Artificial intelligence

Partial differential equation

Generalization

Chinese Journal of Physics

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.

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