Solitons in a diatomic chain with competing nonlinearities

A. V. Gorbach; A. S. Kovalev; O. V. Usatenko

doi:10.1134/1.1417200

Solitons in a diatomic chain with competing nonlinearities

A. V. Gorbach, A. S. Kovalev, O. V. Usatenko

Research output: Contribution to journal › Article › peer-review

6 Citations (SciVal)

Abstract

A one-dimensional diatomic chain whose energy contains cubic and quartic terms in the atomic displacements is considered. A modified asymptotic method is proposed for finding soliton solutions to equations describing systems with nonlinearities of various symmetry. It is shown that the dynamics of the model in question can be described in terms of equations that are similar to the dynamic equations for a diatomic chain with an even potential function. Soliton solutions of a new, unusual type are found in the specific case of a free diatomic chain with a purely cubic anharmonic potential.

Original language	English
Pages (from-to)	2171-2181
Number of pages	11
Journal	Physics of the Solid State
Volume	43
Issue number	11
DOIs	https://doi.org/10.1134/1.1417200
Publication status	Published - Nov 2001

Funding

ACKNOWLEDGMENTS This study was supported in part by the INTAS-99, grant no. 167, and the MNOP program, grant USU no. 082087.

Keywords

Spectroscopy
State Physics
Soliton
Potential Function
Dynamic Equation

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics

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10.1134/1.1417200

Cite this

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AB - A one-dimensional diatomic chain whose energy contains cubic and quartic terms in the atomic displacements is considered. A modified asymptotic method is proposed for finding soliton solutions to equations describing systems with nonlinearities of various symmetry. It is shown that the dynamics of the model in question can be described in terms of equations that are similar to the dynamic equations for a diatomic chain with an even potential function. Soliton solutions of a new, unusual type are found in the specific case of a free diatomic chain with a purely cubic anharmonic potential.

KW - Spectroscopy

KW - State Physics

KW - Soliton

KW - Potential Function

KW - Dynamic Equation

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ER -

Solitons in a diatomic chain with competing nonlinearities

Abstract

Funding

Keywords

ASJC Scopus subject areas

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