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 and Artur SERGYEYEV
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.