Orbital stability of bound states of nonlinear Schrodinger equations with linear and nonlinear optical lattices
Year: 2010
Type: preprint
Abstract: We study the orbital stability and instability of single-spike bound states of semiclassical nonlinear Schrodinger (NLS) equations with critical exponent, linear and nonlinear optical lattices (OLs). These equations may model two-dimensional Bose-Einstein condensates in linear and nonlinear OLs. When linear OLs are switched off, we derive the asymptotic expansion formulas and obtain necessary conditions for the orbital stability and instability of single-spike bound states, respectively. When linear OLs are turned on, we consider three different conditions of linear and nonlinear OLs to develop mathematical theorems which are most general on the orbital stability problem.
Source: arXiv (Cornell University)
Authors: Lin, Tai-Chia, Wei, Juncheng, Yao, Wei
Institutions: National Taiwan University, Chinese University of Hong Kong
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1969382869