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Dai, Zhengde; Li, Shaolin; Dai, Qingyun; Huang, Jian

Singular periodic soliton solutions and resonance for the Kadomtsev-Petviashvili equation. (English) Zbl 1142.35563

Chaos Solitons Fractals 34, No. 4, 1148-1153 (2007).
Summary: 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.

Cited in 26 Documents

MSC:

35Q53 KdV equations (Korteweg-de Vries equations)
35B10 Periodic solutions to PDEs
35Q51 Soliton equations
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\textit{Z. Dai} et al., Chaos Solitons Fractals 34, No. 4, 1148--1153 (2007; Zbl 1142.35563)
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