THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

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Xiu-Rong Guo

,

Fang-Fang Ma

,

Juan Wang

ON (2+1)-DIMENSIONAL EXPANDING INTEGRABLE MODEL OF THE DAVEY-STEWARTSON HIERARCHY

ABSTRACT
This paper mainly investigates the reductions of an integrable coupling of the Levi hierarchy and an expanding model of the (2+1)-dimensional Davey-Stewartson hierarchy. It is shown that the integrable coupling system of the Levi hierarchy possesses a quasi-Hamiltonian structure under certain constraints. Based on the Lie algebras construct, The type abstraction hierarchy scheme is used to gener­ate the (2+1)-dimensional expanding integrable model of the Davey-Stewartson hierarchy.
KEYWORDS
Levi hierarchy, Lie algebras, Quasi-Hamiltonian structure, type abstraction hierarchy scheme, Davey-Stewartson hierarchy
PAPER SUBMITTED: 2020-06-03
PAPER REVISED: 2020-09-02
PAPER ACCEPTED: 2020-09-05
PUBLISHED ONLINE: 2021-12-24
DOI REFERENCE: https://doi.org/10.2298/TSCI2106431G
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2021, VOLUME 25, ISSUE Issue 6, PAGES [4431 - 4439]
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On (2+1)-dimensional expanding integrable model of the Davey-Stewartson hierarchy

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence