English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

In this paper we construct multiparametric families of two dimensionalmetrics with polynomial first integral. Such integrable geodesic flows aredescribed by solutions of some semi-Hamiltonian hydrodynamic type system. Wefind infinitely many conservation laws and commuting flows for this system.This procedure allows us to present infinitely many particular metrics by thegeneralized hodograph method.

On Local Description of Two-Dimensional Geodesic Flows with a Polynomial First Integral