Two-component integrable extension of general heavenly equation

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F24%3AA0000172" target="_blank" >RIV/47813059:19610/24:A0000172 - isvavai.cz</a>

Result on the web

<a href="https://link.springer.com/article/10.1007/s13324-024-00961-8" target="_blank" >https://link.springer.com/article/10.1007/s13324-024-00961-8</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s13324-024-00961-8" target="_blank" >10.1007/s13324-024-00961-8</a>

Result language

angličtina

Original language name

Two-component integrable extension of general heavenly equation

Original language description

We introduce an integrable two-component extension of the general heavenly equation and prove that the solutions of this extension are in one-to-one correspondence with 4-dimensional hyper-para-Hermitian metrics. Furthermore, we demonstrate that if the metrics in question are hyper-para-K &amp; auml;hler, then our system reduces to the general heavenly equation. We also present an infinite hierarchy of nonlocal symmetries, as well as a recursion operator, for the system under study.

Czech name

—

Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10101 - Pure mathematics

Project

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2024

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Analysis and Mathematical Physics

ISSN

1664-2368

e-ISSN

1664-235X

Volume of the periodical

14

Issue of the periodical within the volume

5

Country of publishing house

CH - SWITZERLAND

Number of pages

18

Pages from-to

„104-1“-„104-18“

UT code for WoS article

001294445000001

EID of the result in the Scopus database

2-s2.0-85201628022