SOLITONS IN ATOMIC CHAINS WITH LONG-RANGE INTERACTIONS

Nonlinear solitary excitations are studied in an anharmonic chain with cubic or Toda nearest-neighbor interaction and exponentially decaying harmonic long-range interactions. Analytic expressions are obtained f or the cubic interatomic potential, and the results are in qualitative agreement with numerical simulations. The relation of amplitude and v elocity is quite different to a lattice without long-range forces espe cially near the speed of sound with the possibility of multiple soluti ons for a given velocity.