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Resonant interaction of solitons with extended defects

K. T. STOYCHEV1,* , M. T. PRIMATAROWA1, R. S. KAMBUROVA1

Affiliation

  1. Institute of Solid State Physics, Bulgarian Academy of Sciences, 1784 Sofia, Bulgaria

Abstract

The interaction of nonlinear Schrödinger solitons with extended defects with modified linear, nonlinear and dispersion coefficients is investigated numerically. Repulsive potentials lead to transmission or reflection of the incoming soliton, similarly to the classical-particle case. Attractive potentials yield non-classical behaviour, associated with the wavelike character of the solitons and for a given range of parameters the scattering patterns exhibit periodically repeating regions of trapping and transmission as a function of the length of the defect segment. It is shown that the escape of the soliton is due to a resonance between the period of the shape oscillations of the soliton inside the segment and the length of the latter. Scattering from inhomogeneities involving two modified coefficients is also investigated and peculiarities associated with the complex potential profiles at the boundary are obtained..

Keywords

Nonlinear Schrödinger equation, Solitons, Inhomogeneities.

Submitted at: Nov. 1, 2006
Accepted at: Jan. 15, 2007

Citation

K. T. STOYCHEV, M. T. PRIMATAROWA, R. S. KAMBUROVA, Resonant interaction of solitons with extended defects, Journal of Optoelectronics and Advanced Materials Vol. 9, Iss. 1, pp. 155-158 (2007)