Abstract
It is demonstrated that planar solitary waves of the <br /> longitudinal compression can propagate in a graphene <br /> sheet with supersonic velocities from a narrow range. In <br /> an infinite sheet, such a solitary wave does not change its <br /> shape, and interaction between two solitary waves is elastic <br /> with no energy loss for radiation. However, in a graphene <br /> nanoribbon the solitary waves are affected by the nanoribbon <br /> edges which stipulate the phonon emission. As a result, the <br /> soliton lifetime becomes finite, and it is roughly equal to the <br /> double width of the nanoribbon.
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