| BBM方程孤立波和周期波解的分支 |
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| 引用本文： | 龙瑶,杨映莉.BBM方程孤立波和周期波解的分支[J].蒙自师范高等专科学校学报,2004,2(6):1-6. |
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| 作者姓名： | 龙瑶 杨映莉 |
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| 作者单位： | 红河学院数学系，云南蒙自661100 |
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| 基金项目： | ThisresearchwassupportedbyNaturalScienceFoundationofHongheUniversity (XJZ1 0 40 1 ) |
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| 摘 要： | 用平面动力系统的方法研究了BBM方程，光滑的孤立波和周期波解的存在性被证明了。在参数平面的不同区域，给出了足够的条件来保证上述解的存在性。在一些条件下，列出了解析的精确孤立波解和周期波解。
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| 关 键 词： | 孤立行波解 周期行波解 平面动力系统理论 |
Bifurcation of Solitary Wave and Periodic Wave Solutions for BBM Equation |
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| Abstract.Bifurcation of Solitary Wave and Periodic Wave Solutions for BBM Equation[J].Journal of Mengzi Teachers' College,2004,2(6):1-6. |
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| Authors: | Abstract |
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| Abstract: | Using the method of planar dynamical systems to study Benjiamin-Bona-Mahony equation, the existence of smooth solitary wave and periodic wave solutions are proved. In different regions of the parametric plane, the sufficient conditions to guarantee the existence of the above solutions are given. In some simple conditions, exact explicit solitary wave and periodic wave solutions are listed. |
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| Keywords: | solitary travelling wave solution periodic travelling wave solution theory of planar dynamical systems |
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