Abstract
We consider the soliton excitations in a diatomic chain with nonlinear on-site potential based on a quasi-discreteness approximation. Different from the theoretical approach developed before, our method is valid in the whole Brillouin zone of phonons. The gap solitons observed recently in a nonlinear diatomic pendulum lattice can be well explained qualitatively. It is also shown that if the wave number of the carrier wave is near the edge of the Brillouin zone, the results coinside with that of Kivshar and Flytzanis about the gap solitons in diatomic lattices when the difference of mass between two kinds of atoms becomes small.
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