SAMS Subject Classification Number: 3

An extended Kadomtsev-Petviashivili equation in fluids [1] is investigated by using Lie symmetry analysis. The similarity reductions and new exact solutions are obtained via the simplest equation method. Exact solutions including solitons are shown.In addition, the conservation laws are derived using multiplier approach.

[1] A.M Wazwaz, B.Q. Li, Y.L. Ma, Novel bifurcation solitons for an extended Kadmotsev-Petviashvili equation in fluid, Physics letter A, 413, 127-585,2021.