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一类Toda型方程组的散射行为
  • 时间:0
  • 分类:O175.1[理学—数学;理学—基础数学]
  • 作者机构:华北电力大学数理学院,北京102206
  • 相关基金:Research supported by the National Natural Science Foundation of China(11101141); the Fundamental Research Funds for the Central Universities(2014zzd10,13MS39)
作者: 刘勇, 郝中静
中文摘要:

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.

英文摘要:

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.

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