Title of article
On the standing wave for a class of nonlinear Schrödinger equations
Author/Authors
Yunyun Wei، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2008
Pages
9
From page
1022
To page
1030
Abstract
This paper is concerned with the standing wave for a class of nonlinear Schrödinger equations
iϕt + ϕ − |x|2ϕ +μ|ϕ|p−1ϕ + γ |ϕ|q−1ϕ = 0,
which describes the attractive Bose–Einstein condensates under a magnetic trap. We establish the existence of the standing wave
of the equation. Furthermore, we prove that the standing wave is nonlinearly unstable.
© 2007 Elsevier Inc. All rights reserved.
Keywords
Bose–Einstein condensates , Nonlinear Schr?dinger equations , Standing wave , nonlinear instability
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2008
Journal title
Journal of Mathematical Analysis and Applications
Record number
936435
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