Several types of periodic wave solutions and their relations of a Fujimoto--Watanabe equation |
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| Authors: | Lijuan Shi and Zhenshu Wen |
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| Institution: | Fujian Province University Key Laboratory of Computational Science, School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China and Fujian Province University Key Laboratory of Computational Science, School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China |
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| Abstract: | In this paper, we study periodic wave solutions of a Fujimoto--Watanabe equation by exploiting the bifurcation method of dynamical systems. We obtain all possible bifurcations of phase portraits of the system in different regions of the parametric space, and then give the sufficient conditions to guarantee the existence of several types of periodic wave solutions. What"s more, we present their exact expressions and reveal their inside relations as well as their relations with solitary wave solutions. |
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| Keywords: | Fujimoto-Watanabe equation dynamics periodic wave solutions solitary wave solutions relations |
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