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By using the bifurcation theory of dynamical systems to the generalized KP equation, underdifferent parametric conditions, various sufficient conditions to guarantee the existence of thesolitary wave solutions, periodic cusp wave solutions and compactons solutions are given. Someexact explicit parametric representations of the above waves are determined

Solitary Wave, Periodic Cusp Wave and Compactons of the (2+1)-Dimensional KP-Like K(m,n) Equation