Work

Two-component integrable extension of general heavenly equation

Year: 2024

Type: article

Abstract: 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-Kähler, 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.

Source: Analysis and Mathematical Physics

DOI: 10.1007/s13324-024-00961-8

Authors: Wojciech Kryński, Artur Sergyeyev

Institutions: Institute of Mathematics, Polish Academy of Sciences, Silesian University in Opava

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funders: Narodowe Centrum Nauki, Slezská Univerzita v Opavě