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In this paper, the (3+1)-dimensional Kadomtsev-Petviashvili equation is investigated. Two kinds of periodic breather solitary wave and rogue wave solutions are obtained by using the two-wave method and the homoclinic breather limit approach with the aid of Maple. Deflection of rogue wave varying with the seed solution u 0 is investigated. c 2017 all rights reserved. Keywords: (3+1)-dimensional Kadomtsev-Petviashvili equation, homoclinic breather limit approach, two-wave method, rationaldoi:10.22436/jnsa.010.02.17 fatcat:5e5d3lz5g5eajcmgatd4mi7sv4