Theory of Nonlinear Dispersive Waves and Selection of the Ground State

Details Theory of Nonlinear Dispersive Waves and Selection of the Ground State Theory of Nonlinear Dispersive Waves and Selection of the Ground State

2005-12-20

arxiv.org/abs/nlin/0512059v1

Physical Review Letters, Volume 95, 213905 (2005)

Nonlinear Sciences

Pattern Formation and Solitons

Scientific paper

10.1103/PhysRevLett.95.213905

A theory of time dependent nonlinear dispersive equations of the Schroedinger / Gross-Pitaevskii and Hartree type is developed. The short, intermediate and large time behavior is found, by deriving nonlinear Master equations (NLME), governing the evolution of the mode powers, and by a novel multi-time scale analysis of these equations. The scattering theory is developed and coherent resonance phenomena and associated lifetimes are derived. Applications include BEC large time dynamics and nonlinear optical systems. The theory reveals a nonlinear transition phenomenon, ``selection of the ground state'', and NLME predicts the decay of excited state, with half its energy transferred to the ground state and half to radiation modes. Our results predict the recent experimental observations of Mandelik et. al. in nonlinear optical waveguides.

Affiliated with

Also associated with

No associations

Rating

Theory of Nonlinear Dispersive Waves and Selection of the Ground State does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Theory of Nonlinear Dispersive Waves and Selection of the Ground State, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Theory of Nonlinear Dispersive Waves and Selection of the Ground State will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-662380