BBMlike B(2,2)方程的圈波及周期圈波解

doi:10.6040/j.issn.1671-9352.0.2014.035

山东大学学报（理学版）

BBMlike B(2,2)方程的圈波及周期圈波解

李少勇1,伍芸2

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

收稿日期:2014-01-22 出版日期:2014-05-20 发布日期:2014-06-04
作者简介:李少勇(1980- ),男,硕士研究生,讲师,研究方向为微分方程理论及应用.E-mail:lishaoyongok@sohu.com
基金资助:
韶关学院科研资助项目(201320501)

Loop and periodic loop solutions of the BBM-like B(2,2) equation#br#

LI Shao-yong1, WU Yun2

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

Received:2014-01-22 Online:2014-05-20 Published:2014-06-04

摘要/Abstract

摘要： 应用微分方程动力系统理论研究BBMlike B(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。

关键词: BBM-like B(2,2)方程, 圈波解, 周期圈波解

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.

Key words: periodic loop solution, loop solution, BBM-like B(2, 2) equation

李少勇1,伍芸2. BBMlike B(2,2)方程的圈波及周期圈波解[J]. 山东大学学报（理学版）, 2014, 49(05): 75-80.

LI Shao-yong1, WU Yun2. Loop and periodic loop solutions of the BBM-like B(2,2) equation#br#[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2014, 49(05): 75-80.

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BBMlike B(2,2)方程的圈波及周期圈波解

Loop and periodic loop solutions of the BBM-like B(2,2) equation#br#

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