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Pulse Propagation in Chains with Nonlinear Interactions

Alexandre Rosas·Katja Lindenberg
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Abstract

Pulse propagation in nonlinear arrays continues to be of interest because it provides a possible mechanism for energy transfer with little dispersion. Here we show that common measures of pulse dispersion might be misleading; in strongly anharmonic systems they tend to reflect a succession of extremely narrow pulses traveling at decreasing velocities rather than the actual width of a single pulse. We present analytic estimates for the fraction of the initial energy that travels in the leading pulses. We also provide analytic predictions for the leading pulse velocity in a Fermi-Pasta-Ulam beta-chain.

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Alexandre Rosas, Katja Lindenberg. 2003-08-14. Pulse Propagation in Chains with Nonlinear Interactions. https://doi.org/10.1103/physreve.69.016615

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