Please use this identifier to cite or link to this item: https://doi.org/10.1088/1751-8113/41/23/235207
DC FieldValue
dc.titleIntegrable hierarchies and information measures
dc.contributor.authorParwani, R.R.
dc.contributor.authorPashaev, O.K.
dc.date.accessioned2014-10-16T09:29:27Z
dc.date.available2014-10-16T09:29:27Z
dc.date.issued2008-06-03
dc.identifier.citationParwani, R.R., Pashaev, O.K. (2008-06-03). Integrable hierarchies and information measures. Journal of Physics A: Mathematical and Theoretical 41 (23) : -. ScholarBank@NUS Repository. https://doi.org/10.1088/1751-8113/41/23/235207
dc.identifier.issn17518113
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/96944
dc.description.abstractIn this paper we investigate integrable models from the perspective of information theory, exhibiting various connections. We begin by showing that compressible hydrodynamics for a one-dimensional isentropic fluid, with an appropriately motivated information theoretic extension, is described by a general nonlinear Schrödinger (NLS) equation. Depending on the choice of the enthalpy function, one obtains the cubic NLS or other modified NLS equations that have applications in various fields. Next, by considering the integrable hierarchy associated with the NLS model, we propose higher order information measures which include the Fisher measure as their first member. The lowest members of the hierarchy are shown to be included in the expansion of a regularized Kullback-Leibler measure while, on the other hand, a suitable combination of the NLS hierarchy leads to a Wootters type measure related to a NLS equation with a relativistic dispersion relation. Finally, through our approach, we are led to construct integrable relativistic NLS equations. © 2008 IOP Publishing Ltd.
dc.sourceScopus
dc.typeArticle
dc.contributor.departmentPHYSICS
dc.description.doi10.1088/1751-8113/41/23/235207
dc.description.sourcetitleJournal of Physics A: Mathematical and Theoretical
dc.description.volume41
dc.description.issue23
dc.description.page-
dc.identifier.isiut000256388000013
Appears in Collections:Staff Publications

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