Variational Approach to the Orbital Stability of Standing Waves of the Gross-Pitaevskii Equation

被引：0
|
作者：
Fouad Hadj Selem
Hichem Hajaiej
Peter A. Markowich
Saber Trabelsi
机构：
[1] French Atomic Energy Commission,Department of Mathematics, College of Science
[2] Neurospin,Division of Mathematics & Computer Science & Engineering
[3] King Saud University,undefined
[4] King Abdullah University of Science and Technology,undefined
来源：
Milan Journal of Mathematics | 2014年 / 82卷
关键词：
35J60; 37J10; 35Q55; 35P30; Constrained minimization problem; nonlinear Schrödinger equation; eigenvalue problem;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper is concerned with the mathematical analysis of a masssubcritical nonlinear Schrödinger equation arising from fiber optic applications. We show the existence and symmetry of minimizers of the associated constrained variational problem. We also prove the orbital stability of such solutions referred to as standing waves and characterize the associated orbit. In the last section, we illustrate our results with few numerical simulations.
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页码：273 / 295
页数：22
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