Publication: Interference effects in soliton scattering by impurities
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ISSN: 1751-8113 (print version)
ISSN: 1751-8121 (online version)
Publication date
1992-11-07
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Tutors
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Publisher
Institute of Physics
Abstract
We present a comprehensive study ofthe effects of inhomogeneities on nonlinear
excitation dynamics in different one-dimensional soliton-bearing systems. We theoretically
analyse soliton scattering by one and two point-like impurities in the framework of the perturbed sine-Gordon, nonlinear Schrödinger and Korteweg equations, and
predict that interference effects arise in the form of an oscillatory dependence ofthe soliton
reflection coefficient on the distance between impurities. The main fanor responsible for
this behaviour is the spectral density of the soliton radiation: the values of that distance
which are integer multiples of the main wavelength radiated by the soliton upon collision
with the inhomogeneities give rise to resonant scattering, with very link reflection. Our
approximate analytical predictions explain previous numerical results concerning nonlinear
lattices, and are further supported by new simulations that we have performed on.thc
sine-Gordon system
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Bibliographic citation
Journal of Physics A: Mathematical and General, vol. 25, n. 21, 7 nov. 1992. Pp. 5711–5728