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arXiv · 1910.06904

A Family of Solitary Waves in Frenkel-Kontorova Lattice

Basant Lal Sharma
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Abstract

A family of solitary waves is constructed in Frenkel-Kontorova model and its continuum and quasi-continuum approximations. Each solitary waves is characterised by the number of local maxima in its profile and a relation between external force and the velocity of wave. Such waves may be interpreted as a coherent motion, with constant velocity, of two dislocations of opposite sign or of kink-antikink pair.

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Basant Lal Sharma. 2019-10-15. A Family of Solitary Waves in Frenkel-Kontorova Lattice. https://arxiv.org/abs/1910.06904

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