"New Dubrovin-type integrability theory applications of differential rin" by Orest D. Artemovych, Denis L. Blackmore et al.
 

New Dubrovin-type integrability theory applications of differential rings

Document Type

Conference Proceeding

Publication Date

1-1-2023

Abstract

We present a new and effective approach to studying differential- algebraic relationships by means of specially constructed finitely-generated in- variant subrings in differential rings. Based on their properties, we reana- lyzed the Dubrovin integrability criterion for the Riemann type differential- functional constraints, perturbed by means of some elements from a suit- ably constructed differential ring. We also studied invariant finitely-generated ideals naturally related with constraints, generated by the corresponding Lie- algebraic endomorphic representations of derivations on differential ideals and which are equivalent to the corresponding differential-functional relationships on a generating function. The work in part generalizes the results devised before for proving integrability of the well known generalized hierarchy of the Riemann.

Identifier

85176087918 (Scopus)

ISBN

[9781470473556]

Publication Title

Contemporary Mathematics

External Full Text Location

https://doi.org/10.1090/conm/789/15838

e-ISSN

10983627

ISSN

02714132

First Page

19

Last Page

39

Volume

789

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