journal6 ›› 2012, Vol. 33 ›› Issue (5): 16-18.DOI: 10.3969/j.issn.1007-2985.2012.05.004

• 数学 • 上一篇    下一篇

Toda方程的渐近行为

  

  1. (华北电力大学数理学院,北京102206)
  • 出版日期:2012-09-25 发布日期:2012-11-30

Asymptotic Behavior of the Toda Equation

  1. (Department of Mathematics and Physics,North China Electric Power University,Beijing 102206,China)
  • Online:2012-09-25 Published:2012-11-30
  • About author:LIU Yong(1980-),male,born in Jiangying City,Jiangsu Province,lecturer;research area are nonlinear analysis and nonlinear elliptic equations.
  • Supported by:

    National Natural Science Foundation of China(11101141);Scientific Research Foundation for the Returned Overseas Chinese Scholars of the State Education Ministry;Doctoral Funding of North China Electric Power University

摘要:利用Toda方程中的指数势函数的性质,讨论了Toda方程解在无穷远处的渐近行为,证明了Toda方程的任何一个解在无穷远处是渐近线性的.

关键词: Toda方程, 渐近行为, Allen-Cahn方程

Abstract: Using the basic property of the interaction potential of exponential type,the asymptotic behavior of the solutions for the Toda equation is studied.It is proved that every solution of the Toda equation is asymptotically linear at infinity.

Key words: Toda equation, asymptotic behavior, Allen-Cahn equation

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