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dc.contributor.authorCampbell, Daviden_US
dc.contributor.authorRoss, R.M.en_US
dc.contributor.authorKevrekidis, P.G.en_US
dc.contributor.authorDecker, R.en_US
dc.contributor.authorDemirkaya, A.en_US
dc.date.accessioned2020-04-27T15:07:57Z
dc.date.available2020-04-27T15:07:57Z
dc.date.issued2019-09
dc.identifier.citationDavid Campbell, R.M. Ross, P.G. Kevrekidis, R. Decker, A. Demirkaya. 2019. "Phi-four solitary waves in a parabolic potentia: existence, stability, and collisional dynamics." Springer Series Nonlinear Systems and Complexity, Volume 26, pp. 213 - 234.
dc.identifier.urihttps://hdl.handle.net/2144/40364
dc.description.abstractWe explore a φ4 model with an added external parabolic potential term. This term dramatically alters the spectral properties of the system. We identify single and multiple kink solutions and examine their stability features; importantly, all of the stationary structures turn out to be unstable. We complement these with a dynamical study of the evolution of a single kink in the trap, as well as of the scattering of kink and anti-kink solutions of the model. We observe that some of the key characteristics of kink-antikink collisions, such as the critical velocity and the multi-bounce windows, are sensitively dependent on the trap strength parameter, as well as the initial displacement of the kink and antikink.en_US
dc.format.extentpp. 213 - 234.en_US
dc.language.isoen_US
dc.publisherSpringeren_US
dc.relation.ispartofSpringer Series Nonlinear Systems and Complexity
dc.titlePhi-four solitary waves in a parabolic potentia: existence, stability, and collisional dynamicsen_US
dc.typeArticleen_US
dc.description.versionAccepted manuscripten_US
pubs.elements-sourcemanual-entryen_US
pubs.notesEmbargo: No embargoen_US
pubs.organisational-groupBoston Universityen_US
pubs.organisational-groupBoston University, College of Arts & Sciencesen_US
pubs.organisational-groupBoston University, College of Arts & Sciences, Department of Physicsen_US
pubs.publication-statusPublisheden_US
dc.identifier.orcid0000-0002-4502-5629 (Campbell, David)
dc.identifier.mycv424155


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