Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
841953 | Nonlinear Analysis: Theory, Methods & Applications | 2010 | 14 Pages |
Abstract
We prove that every bound state of the nonlinear Schrödinger equation (NLS) with Morse index equal to two, with d2dω2(E(ϕω)+ωQ(ϕω))>0, is orbitally unstable. We apply this result to two particular cases. One is the NLS equation with potential and the other is a system of three coupled NLS equations. In both the cases the linear instability is well known but the orbital instability results are new when the spatial dimension is high.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Engineering (General)
Authors
Masaya Maeda,