English

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

patt-sol 2009-10-31 v1 Pattern Formation and Solitons

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.

Keywords

Cite

@article{arxiv.patt-sol/9910005,
  title  = {Solitons in anharmonic chains with ultra-long-range interatomic interactions},
  author = {Serge F. Mingaleev and Yuri B. Gaididei and Franz G. Mertens},
  journal= {arXiv preprint arXiv:patt-sol/9910005},
  year   = {2009}
}

Comments

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

R2 v1 2026-07-22T18:48:03.618Z