Calculation of timing and amplitude jitter in a dispersion-managed Korteweg–de Vries system

Houria Triki and Thiab R. Taha

Mathematics and Computers in Simulation (MATCOM), 2009, vol. 80, issue 4, 660-665

Abstract: Propagation of weakly nonlinear long waves in a periodically inhomogeneous medium is considered in the framework of the variable-coefficients Korteweg–de Vries equation. Explicit formulas with which to compute timing and amplitude jitter caused by nonlinear interactions between adjacent solitary waves in a random data sequence are obtained. The results show that the timing jitter depends on the quadratic growth of the propagation distance, whereas the amplitude jitter exhibits a simple linear dependence in the considered periodically varying dispersion-managed Korteweg–de Vries system. By contrast, both timing and amplitude jitter are found to be in the form of a linear growth to distance in a transmission system with strong periodic dispersion management.

Keywords: Variable-coefficients KdV equation; Dispersion-managed KdV media; Timing jitter; Amplitude jitter (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:80:y:2009:i:4:p:660-665

DOI: 10.1016/j.matcom.2009.08.021

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