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

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.

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

References in corpus (1)

• Breathers on lattices with long range interaction

Cited by in corpus (9)

• Continuous Limit of Discrete Systems with Long-Range Interaction
• Standing wave instabilities in a chain of nonlinear coupled oscillators
• Map of Discrete System into Continuous
• Fractional Dynamics of Systems with Long-Range Space Interaction and Temporal Memory
• A Unifying Perspective: Solitary Traveling Waves As Discrete Breathers And Energy Criteria For Their Stability
• An energy-based stability criterion for solitary traveling waves in Hamiltonian lattices
• Chains with Fractal Dispersion Law
• Long-range effects on superdiffusive solitons in anharmonic chains
• Thermal diffusion of solitons on anharmonic chains with long-range coupling