Bifurcations of travelling wave solutions for the combined kdv–mkdv equation |
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| Authors: | Hong Li Lilin Ma Kanmin Wang |
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| Institution: | 1. School of Mathematical Sciences, University College Cork, Cork, Ireland;2. Institute for Applied Mathematics, Leibniz University Hanover, Welfengarten 1, 30167 Hanover, Germany;1. College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China;2. School of Mathematical Sciences, Institute of Mathematics, Nanjing Normal University, Nanjing 210023, China;3. Jiangsu Center for Collaborative Innovation in Geographical Information Resource Development and Application, Nanjing Normal University, Nanjing 210023, China;1. Tainan Hydraulics Laboratory, National Cheng Kung University, 5th F., No.500, Sec. 3, Anming Rd., Tainan 70995, Taiwan;2. Faculty of Mathematics, University of Vienna, Oskar-Morgenstern-Platz 1, 1090 Vienna, Austria;1. Department of Mathematics and Economics, Emporia State University, Emporia, KS 66801, USA;2. Department of Mathematics, University of Missouri, Columbia, MO 65211, USA |
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| Abstract: | By using the theory of bifurcations of dynamical systems to the combined k dv–mk dv equation, the existence of solitary wave, kink and anti-kink wave solutions and uncountably infinite many smooth periodic wave solutions are obtained. Under different parametric conditions, various sufficient conditions to guarantee the existence of the above solutions are given. |
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