On the nonisospectral modified Kadomtsev–Peviashvili equation

Two types of Grammian solutions to the nonisospectral modified Kadomtsev–Peviashvili (mKP) equation are derived with the help of the Pfaffian derivative formulae. Starting from the Grammian solutions obtained, we construct the nonisospectral mKP equation with self-consistent sources by applying the source generalization procedure, whose solutions can be given simultaneously. © 2008 Elsevier Inc. All rights reserved.