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Integrability and soliton in a classical one dimensional site dependent biquadratic Heisenberg spin chain and the effect of nonlinear inhomogeneity
The integrability of one dimensional classical continuum inhomogeneous biquadratic Heisenberg spin chain and the effect of nonlinear inhomogeneity on the soliton of an underlying completely integrable spin model are studied. The dynamics of the spin system is expressed in terms of a higher order gen...
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Lenguaje: | eng |
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2003
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Materias: | |
Acceso en línea: | http://cds.cern.ch/record/645823 |
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author | Kavitha, L Daniel, M |
author_facet | Kavitha, L Daniel, M |
author_sort | Kavitha, L |
collection | CERN |
description | The integrability of one dimensional classical continuum inhomogeneous biquadratic Heisenberg spin chain and the effect of nonlinear inhomogeneity on the soliton of an underlying completely integrable spin model are studied. The dynamics of the spin system is expressed in terms of a higher order generalized nonlinear Schrodinger equation through a differential geometric approach which becomes integrable for a particular choice of the biquadratic exchange interaction and for linear inhomogeneity. The effect of nonlinear inhomogeneity on the spin soliton is studied by carrying out a multiple scale perturbation analysis. |
id | cern-645823 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2003 |
record_format | invenio |
spelling | cern-6458232019-09-30T06:29:59Zhttp://cds.cern.ch/record/645823engKavitha, LDaniel, MIntegrability and soliton in a classical one dimensional site dependent biquadratic Heisenberg spin chain and the effect of nonlinear inhomogeneityXXThe integrability of one dimensional classical continuum inhomogeneous biquadratic Heisenberg spin chain and the effect of nonlinear inhomogeneity on the soliton of an underlying completely integrable spin model are studied. The dynamics of the spin system is expressed in terms of a higher order generalized nonlinear Schrodinger equation through a differential geometric approach which becomes integrable for a particular choice of the biquadratic exchange interaction and for linear inhomogeneity. The effect of nonlinear inhomogeneity on the spin soliton is studied by carrying out a multiple scale perturbation analysis.IC-2002-64oai:cds.cern.ch:6458232003 |
spellingShingle | XX Kavitha, L Daniel, M Integrability and soliton in a classical one dimensional site dependent biquadratic Heisenberg spin chain and the effect of nonlinear inhomogeneity |
title | Integrability and soliton in a classical one dimensional site dependent biquadratic Heisenberg spin chain and the effect of nonlinear inhomogeneity |
title_full | Integrability and soliton in a classical one dimensional site dependent biquadratic Heisenberg spin chain and the effect of nonlinear inhomogeneity |
title_fullStr | Integrability and soliton in a classical one dimensional site dependent biquadratic Heisenberg spin chain and the effect of nonlinear inhomogeneity |
title_full_unstemmed | Integrability and soliton in a classical one dimensional site dependent biquadratic Heisenberg spin chain and the effect of nonlinear inhomogeneity |
title_short | Integrability and soliton in a classical one dimensional site dependent biquadratic Heisenberg spin chain and the effect of nonlinear inhomogeneity |
title_sort | integrability and soliton in a classical one dimensional site dependent biquadratic heisenberg spin chain and the effect of nonlinear inhomogeneity |
topic | XX |
url | http://cds.cern.ch/record/645823 |
work_keys_str_mv | AT kavithal integrabilityandsolitoninaclassicalonedimensionalsitedependentbiquadraticheisenbergspinchainandtheeffectofnonlinearinhomogeneity AT danielm integrabilityandsolitoninaclassicalonedimensionalsitedependentbiquadraticheisenbergspinchainandtheeffectofnonlinearinhomogeneity |