Abstract
In this paper, we consider the transverse instability for a system of nonlinear Schrödinger equations on R × TL. Here, T L means the torus with a 2πL period. It was shown by Colin-Ohta [11] that this system on R has a stable standing wave. In this paper, we regard this standing wave as the standing wave of this system on R × T L. Then, we show that there exists the critical period Lσ which is the boundary between the stability and the instability of the standing wave on R × TL.
Original language | English |
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Pages (from-to) | 565-588 |
Number of pages | 24 |
Journal | Discrete and Continuous Dynamical Systems - Series B |
Volume | 19 |
Issue number | 2 |
DOIs | |
Publication status | Published - Mar 2014 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Discrete Mathematics and Combinatorics
- Applied Mathematics