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

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

Abstract

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.

Suggested Citation

  • Dai, Zhengde & Li, Shaolin & Dai, Qingyun & Huang, Jian, 2007. "Singular periodic soliton solutions and resonance for the Kadomtsev–Petviashvili equation," Chaos, Solitons & Fractals, Elsevier, vol. 34(4), pages 1148-1153.
    • Handle: RePEc:eee:chsofr:v:34:y:2007:i:4:p:1148-1153
    DOI: 10.1016/j.chaos.2006.04.028
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    Cited by:

    1. Dai, Zhengde & Huang, Ying & Sun, Xing & Li, Donglong & Hu, Zhenhua, 2009. "Exact singular and non-singular solitary-wave solutions for Kadomtsev–Petviashvili equation with p-power of nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 946-951.
    2. Zeng, Xiping & Dai, Zhengde & Li, Donglong, 2009. "New periodic soliton solutions for the (3+1)-dimensional potential-YTSF equation," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 657-661.
    3. Mohammed K. Elboree, 2014. "Applications of the extended test approach to (2 + 1)-dimensional Gardner equation," Indian Journal of Pure and Applied Mathematics, Springer, vol. 45(4), pages 433-441, August.
    4. El-Nahhas, A., 2009. "Analytic approximations for the one-loop soliton solution of the Vakhnenko equation," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2257-2264.

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