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Qualitative behavior and exact travelling wave solutions of the Zhiber–Shabat equation |
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| Authors: | Aiyong Chen Wentao Huang Jibin Li |
| Institution: | aSchool of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, Guangxi, 541004, PR China;bCenter of Nonlinear Science Studies, Kunming University of Science and Technology, Kunming, Yunnan, 650093, PR China |
| Abstract: | In this paper, the qualitative behavior and exact travelling wave solutions of the Zhiber–Shabat equation are studied by using qualitative theory of polynomial differential system. The phase portraits of system are given under different parametric conditions. Some exact travelling wave solutions of the Zhiber–Shabat equation are obtained. The results presented in this paper improve the previous results. |
| Keywords: | Qualitative theory Periodic wave solution Solitary wave solution Zhiber– Shabat equation |
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