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Exact solution and semifolded structures of generalized Broer–Kaup system in (2+1)-dimensions

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  • Zheng, Chun-Long
  • Zhu, Hai-Ping
  • Chen, Li-Qun

Abstract

Starting from a special Painlevé–Bäcklund transformation, the nonlinear generalized Broer–Kaup(GBK) system in (2+1)-dimensions is reduced to a linear system. Then by means of the linear superposition theorem, a general variable separation excitation to the generalized Broer–Kaup system is obtained. Finally, based on the derived solution, a new type of localized structure, i.e., semifolded localized coherent structure is constructed and some evolution properties of the novel semifolded localized structure are briefly discussed.

Suggested Citation

  • Zheng, Chun-Long & Zhu, Hai-Ping & Chen, Li-Qun, 2005. "Exact solution and semifolded structures of generalized Broer–Kaup system in (2+1)-dimensions," Chaos, Solitons & Fractals, Elsevier, vol. 26(1), pages 187-194.
    • Handle: RePEc:eee:chsofr:v:26:y:2005:i:1:p:187-194
    DOI: 10.1016/j.chaos.2004.12.017
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