On the dressing method in multidimension

The dressing method based on the system of linear inhomogeneous algebraic e quations is proposed for construction the particular solutions of n-dimensi onal (n is integer) nonlinear partial differential equations (PDE). The cla ssical integrable systems are among them. We represent an example of (3 + 1 )-dimensional generalization of modified Kadomtsev-Petviashvili equation (m KP) with particular solutions. (C) 2000 Elsevier Science B.V. All rights re served.