Dissipative character of asymptotics for the nonlinear fractional Schrodinger equation

被引：4
|
作者：
Naumkin, Pavel, I [1 ]
机构：
[1] UNAM, Ctr Ciencias Matemat, Campus Morelia,AP 61-3, Morelia 58089, Michoacan, Mexico
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2019年 / 60卷 / 12期
关键词：
SCATTERING;
D O I：
10.1063/1.5127942
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We consider the Cauchy problem for the fractional nonlinear Schrodinger equation i partial derivative(t)u + 2/5 vertical bar partial derivative(x)vertical bar(5/2) u = lambda vertical bar u vertical bar(5/2) u, where lambda is an element of R. We obtain the large time asymptotic behavior of solutions, which has a self-similar behavior and a logarithmic modification compared with the corresponding linear problem. Published under license by AIP Publishing.
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页数：26
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