Smooth and non-smooth traveling wave solutions of the Fornberg-Whitham equation with linear dispersion term |
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| Authors: | Bo Jiang Qinsheng Bi |
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| Institution: | a School of Mathematics and Physics, Jiangsu Teachers University of Technology, Changzhou, Jiangsu 213001, PR China
b Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, PR China |
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| Abstract: | In this paper, the Fornberg-Whitham equation with linear dispersion term is investigated by employing the bifurcation method of dynamical systems. As a result, the existence of smooth and non-smooth traveling wave solutions is obtained. And the analytic expressions of solitary wave solutions, periodic cusp wave solutions and peakons are given under some parameter conditions. |
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| Keywords: | Fornberg-Whitham equation Linear dispersion term Bifurcation method Solitary wave solution Peakon Periodic cusp wave solution |
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