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Exact Loop Wave Solutions and Cusp Wave Solutions of the Fujimoto-Watanabe Equation
  
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KeyWord:Fujimoto-Watanabe equation; Solitary loop wave; Periodic loop wave; Peakon; Periodic cusp wave
Author NameAffiliation
Shaolong Xie Business School, Yuxi Normal University, Yuxi, Yunnan 653100, China 
Xiaochun Hong School of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming, Yunnan 650221, China 
Ying Tan School of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming, Yunnan 650221, China 
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Abstract:
      In this paper, the theory of dynamical systems is employed to investigate loop waves and cusp waves of the Fujimoto-Watanabe equation. These waves contain solitary loop waves, periodic loop waves, peakons and periodic cusp waves. Under fixed parameter conditions, their exact explicit parametric expressions are given.