一类Toda型方程组的散射行为（英文）  

Scatteringof a Toda type system

作　　者：刘勇[1] 郝中静 

机构地区：[1]华北电力大学数理学院,北京102206

出　　处：《江苏师范大学学报（自然科学版）》2017年第3期53-54,65,共3页Journal of Jiangsu Normal University：Natural Science Edition

基　　金：Research supported by the National Natural Science Foundation of China(11101141);the Fundamental Research Funds for the Central Universities(2014zzd10,13MS39)

摘　　要：研究了二维平面上的一类Toda型系统.该方程组与Allen-Cahn方程和Schrdinger方程的整体解有深刻联系.利用哈密顿函数的守恒性,证明了该系统具有散射性质,即它的解在无穷远处是渐近线性的.A Toda type system on the two dimensional plane describing the behavior of n particles with exponential interaction is introduced.This system is deeply related to the entire solutions of the Allen-Cahn equation and the Schrdinger equation.Using the conservation of the Hamiltonian function,it is proved that the system has the scattering property：each particle is asymptotically linear.

关 键 词：Toda系统 Allen-Cahn方程 Schrdinger方程 散射 渐近行为 

分 类 号：O175.1[理学—数学]