Abstract

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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