Pulse Propagation in Chains with Nonlinear Interactions

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.

References in corpus (1)

• Pulse Dynamics in a Chain of Granules With Friction

Cited by in corpus (5)

• Energy transport along FPU-beta chains containing binary isotopic disorder: Zero temperature systems
• Loss of stability of a solitary wave through exciting a cnoidal wave on a Fermi-Pasta-Ulam ring
• Propagation dynamics on the Fermi-Pasta-Ulam lattices
• Almost-dispersionless pulse transport in long quasiuniform spring-mass chains: A new kind of Newton's cradle
• Traveling Waves in 2D Hexagonal Granular Crystal Lattices