Integrability analysis of regular and fractional Blackmore-Samulyak-Rosato fields

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Abstract

Blackmore-Samulyak-Rosato (BSR) fields, originally developed as a means of obtaining reliable continuum approximations for granular flow dynamics in terms of relatively simple integro-differential equations, can be used to model a wide range of physical phenomena. Owing to results obtained for one-dimensional granular flow configurations, it has been conjectured that BSR models of fields with perfectly elastic interactions are completely integrable infinite-dimensional Hamiltonian systems. This conjecture is proved for BSR models in one space dimension, and analogues of BSR fields involving fractional time derivatives are briefly investigated.

Original languageEnglish (US)
Article number43403
JournalCondensed Matter Physics
Volume13
Issue number4
DOIs
StatePublished - 2010

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Physics and Astronomy (miscellaneous)

Keywords

  • BSR model
  • Bi-Hamiltonian
  • Completely integrable
  • Fractional derivative

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