Symbolic computation on exact solutions of a coupled Kadomtsev-Petviashvili equation: Lie symmetry analysis and extended tanh method

A coupled Kadomtsev-Petviashvili equation is investigated by using Lie symmetry analysis. The similarity reductions and new exact solutions are obtained via the extended tanh method with symbolic computation. Exact solutions including solitons are shown. The solutions derived have dissimilar physical structures and depend on the real parameters.