哈密顿偏微分方程的不变环面

四年内我们重点研究下面的问题：.1.高维Schrodinger方程的拟周期解。.2.一维带导数Schrodinger方程实解析的拟周期解。.3.一维外参数Schrodinger方程的概周期解。.4.KdV方程的概周期解。.5.离散正切位势的Schrodinger方程的拟周期解。.6.离散非常值解析位势的Schrodinger方程的拟周期解。.7.KdV方程解的长时间行为。

We will mainly do research about the following problems in four years:.1.Quasi periodic solutions of higher dimensional Schrodinger equations..2.Real analytic quasi periodic solutions of one dimensional derivative Schrodinger.equations..3.Almost periodic solutions of one dimensional Schrodinger equations with outer parameters..4.Almost periodic solutions of KdV equations..5.Quasi periodic solutions of lattice Schrodinger equations with tangent potential..6.Quasi periodic solutions of lattice Schrodinger equations with non-constant analytic potential..7.Long time behavior of KdV equations.