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

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

1999-10-19

arxiv.org/abs/patt-sol/9910005v1

Phys. Rev. E, 61 (2000) R1044-R1047.

Nonlinear Sciences

Pattern Formation and Solitons

4 pages (LaTeX), 5 figures (Postscript); submitted to Phys. Rev. E

Scientific paper

10.1103/PhysRevE.61.R1044

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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