EFFECT OF NONLOCAL INTERACTIONS ON SOLITON DYNAMICS IN ANHARMONIC LATTICES

We considered the effect of a Kac-Baker-like long-range interaction potential in an anharmonic chain. The interplay of short- and long-range interactions leads to the existence of two types of solitons with characteristically different, widths for two velocity regions separated by a gap. The low-velocity branch exists up to a maximum critical velocity where the shape reaches a crestlike form. In the high-velocity branch we used multiple scale analysis since two different scales are important.