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The rogue waves of the KP equation with self-consistent sources

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  • Zhang, Yi
  • Sun, YanBo
  • Xiang, Wen

Abstract

General high-order rogue waves of the KP equation with self-consistent sources (KPESCSs) are derived via the Hirota bilinear method, which are given in terms of determinants whose matrix elements have plain algebraic expressions. By means of the regulation of free parameters, the presentation of fundamental rogue waves and the second-order rogue waves is demonstrated by the density and the three dimensional figures.

Suggested Citation

  • Zhang, Yi & Sun, YanBo & Xiang, Wen, 2015. "The rogue waves of the KP equation with self-consistent sources," Applied Mathematics and Computation, Elsevier, vol. 263(C), pages 204-213.
    • Handle: RePEc:eee:apmaco:v:263:y:2015:i:c:p:204-213
    DOI: 10.1016/j.amc.2015.03.116
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    References listed on IDEAS

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    1. Ma, Wen-Xiu, 2005. "Complexiton solutions of the Korteweg–de Vries equation with self-consistent sources," Chaos, Solitons & Fractals, Elsevier, vol. 26(5), pages 1453-1458.
    2. D. R. Solli & C. Ropers & P. Koonath & B. Jalali, 2007. "Optical rogue waves," Nature, Nature, vol. 450(7172), pages 1054-1057, December.
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    Cited by:

    1. Sun, Yan & Tian, Bo & Liu, Lei & Wu, Xiao-Yu, 2018. "Rogue waves for a generalized nonlinear Schrödinger equation with distributed coefficients in a monomode optical fiber," Chaos, Solitons & Fractals, Elsevier, vol. 107(C), pages 266-274.
    2. Manafian, Jalil & Mohammadi-Ivatloo, Behnam & Abapour, Mehdi, 2019. "Lump-type solutions and interaction phenomenon to the (2+1)-dimensional Breaking Soliton equation," Applied Mathematics and Computation, Elsevier, vol. 356(C), pages 13-41.

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