Semifolded Localized Coherent Structures in General (2+1)-dimensional Korteweg de Vries System<sup>*</sup>

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  • Zheng Chun-Long
    Department of Physics, Zhejiang Lishui University Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University
  • Chen Li-Qun
    Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University

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  • Semifolded Localized Coherent Structures in General (2+1)-dimensional Korteweg de Vries System

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Using the Painlevé–Bäcklund transformation and a multilinear variable separationapproach, an exact variable separation excitation of the generalthree-dimensional Korteweg de Vries system is derived first. Based on the derived excitation, a new type of solitary wave, i.e., a semifolded localized coherent structure, is constructed.

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