| BBM—likeB（2，2）方程的圈波及周期圈波解 |
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| 引用本文： | 李少勇,伍芸.BBM—likeB（2，2）方程的圈波及周期圈波解[J].山东大学学报(自然科学版),2014(5):75-80. |
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| 作者姓名： | 李少勇 伍芸 |
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| 作者单位： | [1]韶关学院数学与信息科学学院,广东韶关512005 [2]贵州师范大学数学与计算机科学学院,贵州贵阳550001 |
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| 基金项目： | 韶关学院科研资助项目（201320501） |
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| 摘 要： | 应用微分方程动力系统理论研究BBM—likeB（2，2）方程的圈波及周期圈波解。在某些参数条件下给出该方程平面系统的相图，根据相图找到圈波及周期圈波解的存在条件，并求出了这两种解的参数形式表达式。通过软件Mathematica模拟了这两种解的平面波形图。
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| 关 键 词： | BBM-like B（2，2）方程 圈波解 周期圈波解 |
Loop and periodic loop solutions of the BBM-like B （2,2） equation |
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| LI Shao-yong,WU Yun.Loop and periodic loop solutions of the BBM-like B （2,2） equation[J].Journal of Shandong University(Natural Science Edition),2014(5):75-80. |
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| Authors: | LI Shao-yong WU Yun |
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| Institution: | 1. School of Mathematics and Information Sciences, Shaoguan University, Shaoguan 512005, Guangdong, China; 2. Department of Mathematics and Computer Science, Guizhou Normal University, Guiyang 550001, Guizhou, China) |
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| Abstract: | By using the dynamical system theory of differential equations, the loop and periodic loop solutions of the BBM-like B （2, 2） equation are studied. The bifurcation phase portraits are drawn under some parametric conditions. The conditions to guarantee the existence of these solutions are found, and their parametric representations are obtained. The planar graphs of the these solutions are shown by use of software Mathematica. |
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| Keywords: | BBM-like B （ 2 2） equation loop solution periodic loop solution |
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