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Phys. Rev. E 61, R1044–R1047 (2000)

Solitons in anharmonic chains with ultra-long-range interatomic interactions

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Serge F. Mingaleev and Yuri B. Gaididei
Bogolyubov Institute for Theoretical Physics, 03143 Kiev, Ukraine

Franz G. Mertens
Physikalisches Institut, Universität Bayreuth, D-95440 Bayreuth, Germany

Received 18 October 1999; published in the issue dated February 2000

We study the influence of long-range interatomic interactions on the properties of supersonic pulse solitons in anharmonic chains. We show that in the case of ultra-long-range (e.g., screened Coulomb) interactions three different types of pulse solitons coexist in a certain velocity interval: one type is unstable but the two others are stable. The high-energy stable soliton is broad and can be described in the quasicontinuum approximation. But the low-energy stable soliton consists of two components, short-range and long-range ones, and can be considered as a bound state of these components.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.61.R1044
DOI:
10.1103/PhysRevE.61.R1044
PACS:
42.65.Tg, 63.20.Ry, 05.45.Yv