Similarity Reductions on a (2\(+\)1)-Dimensional Variable-Coefficient Modified Kadomtsev-Petviashvili System Describing Certain Electromagnetic Waves in a Thin Film

For the electromagnetic waves in an isotropic charge-free infinite thin film with the potential application in magneto-optic recording, we investigate a (2 \(+\) $+$ 1)-dimensional variable-coefficient modified Kadomtsev-Petviashvili system. Under the help of symbolic computation, different from those in the existing literatures, we find two branches of the similarity reductions, able to reduce that system to a solvable ordinary differential equation.