Normal mode oscillations of anharmonically trapped nonlocal nonlinear kerr media

Normal mode oscillations of anharmonically confined, one-dimensional, nonlocal nonlinear kerr media with repulsive long-range interaction are investigated analytically and numerically. Variational approximation is used to analytically determine the center of mass and breathing (width) modes. Frequency shifts caused by quartic distortion of the exciting potential are shown to be amplified by the long-range repulsive interaction. Beating structure and higher harmonic modes are also revealed.

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This study investigates normal mode oscillations of anharmonically confined, one-dimensional, nonlocal nonlinear kerr media with repulsive long-range interaction. Both analytical and numerical methods are used, and the results show that frequency shifts caused by quartic distortion of the exciting potential are amplified by the long-range repulsive interaction. The study also reveals the presence of beating structure and higher harmonic modes.