Singular periodic soliton solutions and resonance for the Kadomtsev–Petviashvili equation

Exact periodic soliton solutions of the Kadomtsev–Petviashvili (KP) equation are obtained using the two-soliton and generalized Hirota methods. Singular and non-singular phenomenons of various periodic soliton solutions are studied. The resonance interaction between y-periodic solitons and line solitons is investigated.