Abstract
The modulational instability (MI) of plane waves in terms of nonlinear Shcrödinger equation was discussed using time-dependent variational approach. The ordinary differential equations (ODE) for time evolution of amplitude and phase of modulational perturbations was derived within this framework. This dynamic system approach was used to derive Euler-Lagrange equations for time-dependent parameters which examined their stability for different wave numbers of perturbation. The applications of MI in optics and Bose-Einstein condensation were also observed where coefficients of equation were time dependent.
Original language | English (US) |
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Article number | 017601 |
Pages (from-to) | 176011-176014 |
Number of pages | 4 |
Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |
Volume | 69 |
Issue number | 1 2 |
State | Published - Jan 2004 |
Externally published | Yes |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics