A diatomic elastic chain with nonlinear interparticle interaction placed in
a nonlinear external potential is considered. A detailed classification of
possible two-parametric traveling gap- and near-gap-soliton solutions for
this system is given for different relative strengths of the nonlinearities
. Analytical expressions are derived for traveling near-gap solitons in the
absence of an external field. (C) 2001 MAIK "Nauka/Interperiodica".