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Solitons in One‐Dimensional Molecular Chains
Author(s) -
Davydov A. S.,
Kislukha N. I.
Publication year - 1976
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2220750238
Subject(s) - physics , soliton , intramolecular force , classical mechanics , motion (physics) , vibration , molecule , chain (unit) , deformation (meteorology) , quantum mechanics , nonlinear system , meteorology
A theory of collective excitations in one‐dimensional chains of weakly bound molecules which correspond to intramolecular excitations is developed. It is shown that these excitations are described by solitary waves (solitons) propagating (without “smearing”) along the chain together with local deformation. The theory is developed without applying the assumption of inertialess motion of molecules. It is shown that the ultimate velocity of solitons is the velocity of sound waves corresponding to longitudinal vibrations of molecules. The problem of soliton stability is discussed.