Quasiperiodic localized oscillating solutions in the discrete nonlinear Schrödinger equation with alternating on-site potential

• An explicit examples of exact stable quasiperiodic localized stable solution with spatially symmetric large amplitude oscillations in a nonintegrable Hamiltonian lattice model were presented. The proposed model as observed, is a one-dimensional discrete nonlinear Schro°dinger equation with alternating on-site energies. It was observed that the pulson solutions exists for other types of multicomponent lattices with two conserved quantities. It was also observed that the pulson character of the two-frequency solution appeared when the absolute value of the minimum value of ? n0±1 exceeds the minimum value of ?n0.

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