A numerical model of a one-dimensional lattice of linearly coupled nonlinear oscillators was developed using a simple Euler's method algorithm. The model includes linear dissipation and global parametric drive. Standing breather and kink solitons were observed in the lower and upper cutoff modes, with parameters that agree closely with the nonlinear Schrödinger (NLS) theory. The solitons were found to be stable even when the assumptions that lead to the NLS solutions are violated, indicating the robustness of these structures. Also observed were stable kinks in modes other than the upper and lower cutoff modes, and stable transition regions between domains of different modes. There currently exists no theoretical description of these latter structures. All of the numerical results are in qualitative agreement with results previously obtained with an experimental pendulum lattice.
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