,Periodic Bifurcation and Soliton Deflexion for Kadomtsev-Petviashvili Equation

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The spatial-temporal bifurcation for Kadomtsev-Petviashvili (KP) equations is considered. Exact two-soliton solution and doubly periodic solution to the KP-Ⅰ equation, and two classes of periodic soliton solutions in different directions to KP-Ⅱ are obtained using the bilinear form, homoclinic test technique and temporal and spatial transformation method, respectively. The equilibrium solution uo=-1/6,a unique spatial-temporal bifurcation which is periodic bifurcation for KP-Ⅰ and deflexion of soliton for KP-Ⅱ, is investigated.
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