摘要
讨论一类薛定谔方程,首先通过Fourier展开将方程化为代数方程,再用压缩映射原理证明其存在不动点,从而原方程存在拟周期解。
we can lead to a algebraic equation by Fourier expansion for the equation β√-1)uxx+ ε|u|^2 u=εF(t,x) . Furthermore, we can prove the existence of fixed point by contraction mapping theorem. As a result, quasiperioclie solutions of the equation exist.
出处
《渤海大学学报(自然科学版)》
CAS
2007年第4期340-344,共5页
Journal of Bohai University:Natural Science Edition
基金
辽宁省教育厅基金项目(No.2004C059).
关键词
薛定谔方程
压缩映射
拟周期解
Schrodinger equations
contraction mapping
quasiperiodic solution