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The periodic traveling-wave solutions of the short-pulse equation |
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| Authors: | Shaolong Xie Xiaochun Hong |
| Affiliation: | a Department of Mathematics and Statistics, Business School, Yuxi Normal University, Yuxi, Yunnan 653100, PR China b School of Mathematics and Information Science, Qujing Normal University, Qujing, Yunnan 655000, PR China c Department of Physics, Faculty of Sciences, Yuxi Normal University, Yuxi, Yunnan 653100, PR China |
| Abstract: | In this paper, we consider the short-pulse equation (SPE) by using the dynamical system theory. The periodic solutions of the SPE are investigated. The solutions are characterized by two parameters. The periodic waves existent conditions are found, and explicit parametric expressions of all periodic solutions are given. |
| Keywords: | Short-pulse equation Open orbit Close orbit Periodic loop wave Solitary loop wave |
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