Bifurcations of traveling wave solutions for a generalized Sinh-Gordon equation |
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Institution: | 1. College of Electronic Information and Automation, Tianjin University of Science and Technology, Tianjin 300222, China;2. College of Artificial Intelligence, Nankai University, Tianjin 300350, China;3. Tianjin Key Laboratory of Intelligent Robotics, Nankai University, Tianjin 300350, China;1. School of Mathematics and Computer Science, Ningxia University, Yinchuan 750021, China;2. Institute of Ethnic Preparatory Education, Ningxia University, Yinchuan 750021, China |
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Abstract: | In this paper, we studied the bifurcation behaviors and exact traveling wave solutions of the generalized Sinh-Gordon equation under three different functions transformations by using the bifurcation theory of dynamical system. As a result, we obtained all possible traveling wave solutions such as solitary wave solutions, periodic wave solutions, breaking kink wave solutions and compactons under different parametric conditions. |
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