HOMOGENIZATION FOR NONLINEAR SCHRODINGER EQUATIONS WITH PERIODIC NONLINEARITY AND DISSIPATION IN FR

• 作 者: 冯斌华 赵敦 孙春友
• 机 构: DepartmentofMathematics,SchoolofMathematicsandStatistics
• 出 处: 数学物理学报：B辑英文版
• 发表日期: 2015年3期
• 关键词: 非线性薛定谔方程 耗散系数 分数阶 空间 周期 均化 爱因斯坦凝聚 局部收敛 Nonlinear SchrSdinger equation averaged e
• 基金项目: This work was supported by the NSFC Grants 10601021and 11475073.

We study the nonlinear Schrodinger equation with time-oscillating nonlinearity and dissipation originated from the recent studies of Bose-Einstein condensates and optical systems which reads iΨt + ΔΨ + φ（ωt）|Ψ|αΨ+iζ（ωt）Ψ=0.Under some conditions,we show th