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Toda方程的渐近行为
引用本文:刘勇.Toda方程的渐近行为[J].吉首大学学报(自然科学版),2012,33(5):16-18.
作者姓名:刘勇
作者单位:(华北电力大学数理学院,北京102206)
基金项目: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

Asymptotic Behavior of the Toda Equation
LIU Yong.Asymptotic Behavior of the Toda Equation[J].Journal of Jishou University(Natural Science Edition),2012,33(5):16-18.
Authors:LIU Yong
Institution:(Department of Mathematics and Physics,North China Electric Power University,Beijing 102206,China)
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.
Keywords:Toda equation  asymptotic behavior  Allen-Cahn equation
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