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New exact solutions to the (2+1)-dimensional Broer–Kaup equation

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  • Zhu, Jiamin
  • Ma, Zhengyi

Abstract

Using the variable coefficient generalized projected Ricatti equation expansion method, we present the explicit solutions of the (2+1)-dimensional Broer–Kaup (BK) equation. These solutions include Weierstrass function solutions, solitary wave solutions, soliton-like solutions and trigonometric function solutions. Some of these solutions are found for the first time. Because of the two or three arbitrary functions, rich localized excitations can be found.

Suggested Citation

  • Zhu, Jiamin & Ma, Zhengyi, 2007. "New exact solutions to the (2+1)-dimensional Broer–Kaup equation," Chaos, Solitons & Fractals, Elsevier, vol. 34(2), pages 476-481.
    • Handle: RePEc:eee:chsofr:v:34:y:2007:i:2:p:476-481
    DOI: 10.1016/j.chaos.2006.03.048
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