Abstract

Using a bifurcation method and a numerical simulation approach of dynamical systems, we study the generalized KP-MEW(2, 2) equation (ut + (u2)x + (u2)xxt)x + uyy = 0. Two types of bounded traveling waves are found, that is, a compacton-like wave and a kink-like wave. The planar graphs of the compacton-like and kink-like waves are simulated using the software Maple. Exact implicit or parameter expressions of these solutions are given.

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