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Schrdinger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 Schrdinger equation.Using the conservation of the Hamiltonian function,it is proved that the system has the scattering property:each particle is asymptotically linear.