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Phys Rev Lett. 2007 Feb 16;98(7):074102. Epub 2007 Feb 13.

Nonautonomous solitons in external potentials.

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Instituto de Ciencias, Benemerita Universidad Autonoma de Puebla, AP 502, 72001 Puebla, Mexico.


Novel soliton solutions for the nonautonomous nonlinear Schrödinger equation models with linear and harmonic oscillator potentials substantially extend the concept of classical solitons and generalize it to the plethora of nonautonomous solitons that interact elastically and generally move with varying amplitudes, speeds, and spectra adapted both to the external potentials and to the dispersion and nonlinearity variations. The nonautonomous soliton concept can be applied to different physical systems, from hydrodynamics and plasma physics to nonlinear optics and matter waves, and offer many opportunities for further scientific studies.

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