Exact Loop Wave Solutions and Cusp Wave Solutions of the Fujimoto-Watanabe Equation |
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| Authors: | Shaolong Xie Xiaochun Hong Ying Tan |
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| Affiliation: | Business School, Yuxi Normal University, Yuxi, Yunnan 653100, China;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 toinvestigate loop waves and cusp waves of the Fujimoto-Watanabeequation. These waves contain solitary loop waves, periodic loopwaves, peakons and periodic cusp waves. Under fixed parameterconditions, their exact explicit parametric expressions are given. |
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| Keywords: | Fujimoto-Watanabe equation Solitary loop wave Periodic loop wave Peakon Periodic cusp wave |
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