2024
Two-component integrable extension of general heavenly equation
KRYŃSKI, Wojciech and Artur SERGYEYEVBasic information
Original name
Two-component integrable extension of general heavenly equation
Authors
KRYŃSKI, Wojciech (616 Poland, guarantor) and Artur SERGYEYEV (804 Ukraine, belonging to the institution)
Edition
Analysis and Mathematical Physics, Basel, Switzerland, Springer Basel AG, 2024, 1664-2368
Other information
Language
English
Type of outcome
Article in a journal
Field of Study
10101 Pure mathematics
Country of publisher
Switzerland
Confidentiality degree
is not subject to a state or trade secret
References:
Impact factor
Impact factor: 1.600
RIV identification code
RIV/47813059:19610/24:A0000172
Organization unit
Mathematical Institute in Opava
UT WoS
001294445000001
EID Scopus
2-s2.0-85201628022
Keywords in English
hyper-para-Hermitian metrics; general heavenly equation; integrable systems; Lax pairs; recursion operators
Tags
International impact, Reviewed
Changed: 3/3/2025 12:00, Mgr. Aleš Ryšavý
Abstract
In the original language
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 & 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.