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Explicit Solutions and Bifurcations for a Class of Generalized Boussinesq Wave Equation |
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| Authors: | MA Zhi-Min SUN Yu-Huai LIU Fu-Sheng |
| Affiliation: | 1. Engineering and Technical College of Chengdu University of Technology, Leshan 614000, China;2. Institute of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, China;3. Institute of High Pressure Physics, Southwest Jiatong University, Chengdu 610031, China |
| Abstract: | In this paper,the generalized Boussinesq wave equation u tt-uxx+a(um) xx+buxxxx=0 is investigated by using the bifurcation theory and the method of phase portraits analysis.Under the different parameter conditions,the exact explicit parametric representations for solitary wave solutions and periodic wave solutions are obtained. |
| Keywords: | generalized Boussinesq wave equation Boussinesq wave equation bifurcation theory solitons periodic solutions |
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