journal6 ›› 2005, Vol. 26 ›› Issue (2): 1-4.

• 数学 •    下一篇

一类Boussinesq方程的同宿轨和周期孤立子

  

  1. (1.云南大学数理学院,云南  昆明 650091;2.曲靖师范学院数学系,云南  曲靖  655000)
  • 出版日期:2005-04-15 发布日期:2012-09-22

Homoclinic Orbits and Periodic Solitons for a Class of Boussinesq Equations

  1. (1.School of Mathematics and Physics,Yunnan University,Kunming 650091,Yunan China; 2.Department of Mathematics,Qujing Teachers College,Qujing 655000,Yunan China)
  • Online:2005-04-15 Published:2012-09-22
  • About author:LI Zheng-biao(1971-),male,was born in Xuanwei Country of Yunan Province;lecturer,research area is partial differential equation.
  • Supported by:

    Supported by National Natural Science Foundation of China(10361007) and National Natural Science Foundation of Yunnan Province(2004A0001M)

摘要:研究了一类具有周期边界条件和偶约束的Boussinesq方程.首先,通过线性稳定性分析,证明了“坏”Boussinesq方程存在同宿轨解,而“好”Boussinesq方程存在孤立子解.然后,利用Hirota双线性方法,分别获得了同宿轨和孤立子的显式表达式,而且发现孤立子解存在爆破现象.

关键词: Boussinesq方程, 同宿轨, 周期孤立子

Abstract: arized stability analysis,the authors get the existence of homoclinic orbits for “bad” Bq equation and periodic solitons for “good” Bq equation.Then,by the Hirota's bilinear method,the exact expressions of homoclinic orbits and periodic solitons are obtained respectively,and the authors find there is blow-up phenomenon for the soliton solutions.

Key words: Boussinesq equation, homoclinic orbit, periodic soliton

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