Solitons in an anharmonic chain of the Frenkel'-Kontorova model
Beklemishev S. A., Klochikhin V. L.
Equations of motion incorporating an anharmonicity of the interatomic interaction are derived for the Frenkel'-Kontorova model. Corrections to existing solutions in the harmonic approximation are also derived. A limit is found on the velocity of an extension soliton, corresponding to an energy of the soliton which is still finite. New solutions due to the anharmonicity are found. One is a soliton with a topological charge of 2.