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Long-distance propagation of periodic patterns in weakly nonlinear Kerr medium
NIKOLAI KORNEEV ZABELLO
FRANCISCO MARROQUIN GUTIERREZ
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We investigate the propagation of periodic patterns in one and two dimensions for weak Kerr-type nonlinearity. Nonlinear amplitudes are introduced, which are related to the Fourier harmonics of a wave by polynomials of third and fifth degree. These amplitudes evolve in a particularly simple way and permit easy reconstruction of waveform after propagation. For the one-dimensional case, solutions are quasiperiodic, and solitonlike structures can be identified. For the two-dimensional case, recurrent and chaotic regimes exist depending on lattice type.
Optical Society of America
2007-01
Artículo
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Korneev, N. & Marroquín, F. (2007). Long-distance propagation of periodic patterns in weakly nonlinear Kerr medium, Optical Society of America, Vol. 24 (1): 84-89
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