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

Document Type

Article

Publication Date

1-1-2010

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. © D. Blackmore, K. Urban, A. Rosato.

Identifier

78651499235 (Scopus)

Publication Title

Condensed Matter Physics

External Full Text Location

https://doi.org/10.5488/CMP.13.43403

ISSN

1607324X

Issue

4

Volume

13

Grant

1029809

Fund Ref

National Science Foundation

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