Анотація:
We discuss the existence of spatially localized nonlinear modes in carbon nanotubes with different
chiralities, and demonstrate that in nanotubes with the chirality index (m, 0) three types of localized modes
can exist, namely longitudinal, radial, and twisting nonlinear localized modes. We demonstrate that only the
nonlinear modes associated with the twisting oscillations are nonradiating modes, and they exist in the frequency
gaps of the linear spectrum. Geometry of carbon nanotubes with the index (m, m) allows only the existence
of broad radial breathers in a narrow spectral range.