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The nonlinear Bloch theorem for the temporal and spatial Schrödinger solitons in dispersive and nonlinear periodic structures is proved. It is shown that bright and dark solitary nonlinear Bloch waves exist only under certain conditions and that the parameter functions describing dispersion and nonlinearity periodic inhomogeneities cannot be chosen independently. 相似文献
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We consider the concept of femtosecond propagation for optical solitons in a dispersion management fiber and study the optimal amplification of optical solitons through dispersion wells and barriers and also for the dispersion tailored profile case. For the former, we observed periodic soliton trapping for the in-phase injection case when their respective velocities were equal and opposite with their amplitudes being unequal and no soliton trapping for the off-phase injection case when the two pulses are having a phase difference of π. For the latter, we observed an enormous amplification of the soliton pulses which is one of our main results in this Letter. 相似文献
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T. L. Belyaeva V. N. Serkin M. A. Agüero C. Hernandez-Tenorio L. M. Kovachev 《Laser Physics》2011,21(1):258-263
We show that the law of the soliton adaptation to varying-in-time external potentials indicates conclusively the way for solitonlike
bullets generation in three-dimensional nonautonomous nonlinear and dispersive systems. It turns out that the generation of
matter-wave soliton bullets can be realized if periodic variations of non-linearity and confining sign-reversal varying-in-time
harmonic oscillator potential are opposite in phases so that peaks of nonlinearity inside the atomic cloud coincide in time
with repulsive character of trapping potential during reversal periodic transformations from cigar-shaped to ball-shaped trapping
structures. In nonlinear optical applications, periodic graded-index nonlinear structures with alternating waveguiding and
antiwaveguiding segments can be used to simulate complicated processes of matter-wave soliton bullets generation. 相似文献
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Novel soliton solutions for the nonautonomous nonlinear Schr?dinger 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. 相似文献
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High-energy optical Schrödinger solitons 总被引:1,自引:0,他引:1
The conditions for the existence of a Lax pair were determined and exact analytic solutions to the nonlinear evolution equations of the Schrödinger type with complex and nonuniform potentials were found. In particular, these solutions provide a basis for the soliton management concept in applied problems and solve the problems of optimal energy accumulation by a Schrödinger soliton in an active medium and soliton amplification in optical fiber communication lines and soliton lasers. 相似文献