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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 Name | Affiliation | | 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. |
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