Heriot-Watt Mathematics Report Series
HWM98-71, 21 Jan 1999
A breather-like localised mode in a FPU lattice interacting with an electron
Y Zolotaryuk and JC Eilbeck
Abstract
A theoretical study in the framework of a variational approach
is presented for the Fermi-Pasta-Ulam (FPU) chain interacting
with an extra electron. Standing three-component soliton
solutions which describe coupled states of an acoustic polaron
with longitudinal lattice vibrations are found. This result is
confirmed by numerical simulations and extended qualitatively to
a chain with a realistic inter-particle potential of a general
form.
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