Abstract
We study, by the Hirota bilinear method, multi-soliton solution of Modified Kadomtsev-Petviashvili equation and of two dimensional Modified Boussinesq equation with cubic nonlinearity. It is shown first that the former has only two solition solution propagating in parallel, but the latter, two solition solution propagating indifferent direction under a certain condition. Independent variable transformation is also applied to the N -soliton solution of Modified K-dV equation written in the bilinear form, which is different from that obtained by Hirota, and the N -soliton solution of the 2D Modified Boussinesq equation is obtained.
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