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

The WZNW and string models are considered in the terms of the initial andinvariant chiral currents assuming that the internal and external torsionscoincide (anticoincide) and they are the structure constants of the$SU(n),SO(n),$ $SP(n)$ Lie algebras. These models are the auxiliary problems inorder to construct integrable equations of hydrodynamic type. It was shown thatthe WZNW and string models in terms of invariant chiral currents are integrablefor the constant torsion associated with the structure constants of the$SU(2),$ $SO(3),$ $SP(2)$ and $SU(3)$ algebras only. The equation of motion forthe density of the first Casimir operator was obtained in the form of theinviscid Burgers equation. The solution of this equation is presented throughthe Lambert function. Also, a new equation of motion for the initial chiralcurrent was found.  The integrable infinite hydrodynamic chains obtained from the WZNW and stringmodels are given in terms of invariant chiral currents with the $SU(2)$,$SO(3)$, $SP(2)$ and with $SU(\infty)$, $SO(\infty)$, $SP(\infty)$ constanttorsions. Also, the equations of motion for the density of any Casimir operatorand new infinite dimensional equations of hydrodynamic type for the initialchiral currents through the symmetric structure constant of $SU(\infty)$,$SO(\infty),$ $SP(\infty)$ algebras are obtained.

international journal of modern physics a

Integrable hydrodynamic equations for initial chiral currents and  infinite hydrodynamic chains from WZNW model and string model of WZNW type  with $SU(2),$ $SO(3),$ $SP(2),$ $SU(\infty)$, $SO(\infty)$, $SP(\infty)$  constant torsions