Toda方程的渐近行为(英文)  

Asymptotic Behavior of the Toda Equation

作　　者：刘勇[1] 

机构地区：[1]华北电力大学数理学院,北京102206

出　　处：《吉首大学学报（自然科学版）》2012年第5期16-18,共3页Journal of Jishou University(Natural Sciences Edition)

基　　金：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.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.

关 键 词：Toda方程 渐近行为 Allen—Cahn方程 

分 类 号：O175.1[理学—数学]