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Bifurcations of traveling wave solutions for Zhiber–Shabat equation
Authors:Yaning Tang  Wei Xu  Jianwei Shen  Liang Gao
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
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.
Keywords:34C25-28  58F05  58F14  58F30
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