JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE)

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

LI Shao-yong1, WU Yun2   

  1. 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

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

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