Bifurcations of traveling wave solutions for Zhiber–Shabat equation |
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Authors: | Yaning Tang Wei Xu Jianwei Shen Liang Gao |
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Institution: | 1. Department of Applied Mathematics, Northwestern Polytechnical University, Xi’an, Shaanxi 710072, PR China;2. Department of Mathematics, Xuchang University Xuchang, Henan 461000, PR China |
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Abstract: | In this paper, we investigate the dynamical behavior of traveling wave solutions in the Zhiber–Shabat equation by using the bifurcation theory and the method of phase portraits analysis. As a result, we obtain the conditions under which smooth and non-smooth traveling wave solutions exist, and give some exact explicit solutions for some special cases. |
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Keywords: | 34C25-28 58F05 58F14 58F30 |
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