ac driven sine-Gordon solitons: dynamics and stability

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Show simple item record Quintero, Niurka R. Sánchez, Angel 2012-08-23T09:38:52Z 2012-08-23T09:38:52Z 1998-11
dc.identifier.bibliographicCitation The European Physical Journal B, vol. 6, n. 1, nov. 1998. Pp. 133-142
dc.identifier.issn 1434-6028 (print version)
dc.identifier.issn 1434-6036 (online version)
dc.description.abstract The ac driven sine-Gordon equation is studied analytically and numerically, with the aim of providing a full description of how soliton solutions behave. To date, there is much controversy about when ac driven dc motion is possible. Our work shows that kink solitons exhibit dc or oscillatory motion depending on the relation between their initial velocity and the force parameters. Such motion is proven to be impossible in the presence of damping terms. For breathers, the force amplitude range for which they exist when dissipation is absent is found. All the analytical results are compared with numerical simulations, which in addition exhibit no dc motion at all for breathers, and an excellent agreement is found. In the conclusion, the generality of our results and connections to others systems for which a similar phenomenology may arise are discussed.
dc.format.mimetype application/pdf
dc.language.iso eng
dc.publisher Springer
dc.title ac driven sine-Gordon solitons: dynamics and stability
dc.type article
dc.description.status Publicado
dc.subject.eciencia Matemáticas
dc.identifier.doi 10.1007/s100510050535
dc.rights.accessRights openAccess
dc.type.version acceptedVersion
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