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

Serge F. Mingaleev·Yuri B. Gaididei·Franz G. Mertens
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Abstract

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.

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Serge F. Mingaleev, Yuri B. Gaididei, Franz G. Mertens. 1999-10-19. Solitons in anharmonic chains with ultra-long-range interatomic interactions. https://doi.org/10.1103/physreve.61.r1044

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