Existence of global attractor for one-dimensional weakly damped nonlinear Schrodinger equation with Dirac interaction and artificial boundary condition in half-line

被引：3
|
作者：
Abounouh, Mostafa [1 ]
Al Moatassime, Hassan [1 ]
Chrifi, Abderrazak [1 ]
机构：
[1] Cadi Ayyad Univ, Fac Sci & Technol, Dept Math, BP 549,Av Abdelkarim Elkhattabi, Gueliz 40000, Marrakesh, Morocco
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2017年
关键词：
damped nonlinear Schrodinger equation; Dirac interaction defect; artificial boundary condition; autonomous dynamical system; global attractor; TRANSPARENT; VORTEX; WAVES;
D O I：
10.1186/s13662-017-1194-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a nonlinear Schrodinger equation with Dirac interaction defect. Moreover, non-standard boundary conditions are introduced in connection to the behavior of the solutions. First, we prove that this kind of Schrodinger equation can be characterized by an autonomous dynamical system. Then, based on this result, we show that such an equation possesses a maximal compact attractor in the weak topology of H-1.
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页数：24
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