On a variable-coefficient modified kp equation and a generalized variable-coefficient KP equation with computerized symbolic computation

The variable-coefficient nonlinear evolution equations, although realistically modeling various mechanical and physical situations, often cause some well-known powerful methods not to work efficiently. In this paper, we extend the power of the generalized hyperbolic-function method, which is based on the computerized symbolic computation, to a variable-coefficient modified Kadomtsev-Petviashvili (KP) equation and a generalized variable-coefficient KP equation. New exact analytic solutions thus come out.