| Dynamics of traveling wave solutions to a highly nonlinear Fujimoto–Watanabe equation |
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| 作者姓名： | 师利娟 温振庶 |
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| 基金项目： | Project supported by the National Natural Science Foundation of China(Grant Nos.11701191 and 11871232);the Program for Innovative Research Team in Science and Technology in University of Fujian Province,Quanzhou High-Level Talents Support Plan(Grant No.2017ZT012);the Subsidized Project for Cultivating Postgraduates’ Innovative Ability in Scientific Research of Huaqiao University |
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| 摘 要： | ![]()
In this work, we apply the bifurcation method of dynamical systems to investigate the underlying complex dynamics of traveling wave solutions to a highly nonlinear Fujimoto–Watanabe equation. We identify all bifurcation conditions and phase portraits of the system in different regions of the three-dimensional parametric space, from which we present the sufficient conditions to guarantee the existence of traveling wave solutions including solitary wave solutions, periodic wave solutions, kink-like(antikink-like) wave solutions, and compactons. Furthermore, we obtain their exact expressions and simulations, which can help us understand the underlying physical behaviors of traveling wave solutions to the equation.
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| 关 键 词： | HIGHLY NONLINEAR Fujimoto–Watanabe EQUATION DYNAMICS traveling wave solutions BIFURCATIONS |
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