Nonlinear localized modes in complex chains and carbon nanotubes

Abstract

The existence of spatially localized nonlinear modes in carbon nanotubes with different chiralities is discussed, and it is demonstrated that in nanotubes with chirality index (m,0) three types of localized modes can exist, namely longitudinal, radial, and twisting nonlinear localized modes. It is demonstrated that only the nonlinear modes associated with the twisting oscillations are nonradiating modes, and they exist in the frequency gaps of the linear spectrum. The geometry of carbon nanotubes with the index (m,m) allows only the existence of broad radial breathers in a narrow spectral range.