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New variable separation excitations of (2+1)-dimensional dispersive long-water wave system obtained by an extended mapping approach

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  • Zheng, Chun-Long
  • Fang, Jian-Ping
  • Chen, Li-Qun

Abstract

By means of an extended mapping approach, a new type of variable separation excitation with three arbitrary functions of the (2+1)-dimensional dispersive long-water wave system (DLW) is derived. Based on the derived variable separation excitation, abundant localized structures such as dromion, ring, peakon and foldon etc. are re-revealed by selecting appropriate functions in this paper.

Suggested Citation

  • Zheng, Chun-Long & Fang, Jian-Ping & Chen, Li-Qun, 2005. "New variable separation excitations of (2+1)-dimensional dispersive long-water wave system obtained by an extended mapping approach," Chaos, Solitons & Fractals, Elsevier, vol. 23(5), pages 1741-1748.
    • Handle: RePEc:eee:chsofr:v:23:y:2005:i:5:p:1741-1748
    DOI: 10.1016/j.chaos.2004.06.082
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    Cited by:

    1. Wu, Yue, 2007. "Variational approach to higher-order water-wave equations," Chaos, Solitons & Fractals, Elsevier, vol. 32(1), pages 195-198.
    2. Velasco-Juan, M. & Fujioka, J., 2020. "Integral complex modified Korteweg-de Vries (Icm-KdV) equations," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).

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