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Teoreticheskaya i Matematicheskaya Fizika, 2023, Volume 216, Number 2, Pages 315–325
DOI: https://doi.org/10.4213/tmf10489 (Mi tmf10489) 		 
This article is cited in 54 scientific papers (total in 54 papers)

Four-component integrable hierarchies of Hamiltonian equations with ($m+n+2$)th-order Lax pairs

Wen-Xiu Maabcd

a Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang, China
b Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia
c Department of Mathematics and Statistics, University of South Florida, Tampa, FL, USA
d School of Mathematical and Statistical Sciences, North-West University, Mmabatho, South Africa
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DOI: https://doi.org/10.4213/tmf10489
Abstract: A class of higher-order matrix spectral problems is formulated and the associated integrable hierarchies are generated via the zero-curvature formulation. The trace identity is used to furnish Hamiltonian structures and thus explore the Liouville integrability of the obtained hierarchies. Illuminating examples are given in terms of coupled nonlinear Schrödinger equations and coupled modified Korteweg–de Vries equations with four components.
Keywords: Lax pair, zero-curvature equation, integrable hierarchy, Hamiltonian structure, NLS equations, mKdV equations.
Funding agency Grant number
National Natural Science Foundation of China 12271488
11975145
11972291
51771083
Ministry of Science and Technology (MOST) of China G2021016032L
Natural Science Foundation of Jiangsu Province 17 KJB 110020
The work was supported in part by the NSFC grants 12271488, 11975145, 11972291, and 51771083, the Ministry of Science and Technology of China (G2021016032L), and the Natural Science Foundation for Colleges and Universities in Jiangsu Province (17 KJB 110020).
Received: 03.03.2023
Revised: 30.04.2023
English version:
Theoretical and Mathematical Physics, 2023, Volume 216, Issue 2, Pages 1180–1188
DOI: https://doi.org/10.1134/S0040577923080093
Bibliographic databases:
Document Type: Article
PACS: 02.30.Ik, 05.45.Yv
MSC: 37K15, 35Q55; 37K40
Language: Russian
Citation: Wen-Xiu Ma, “Four-component integrable hierarchies of Hamiltonian equations with ($m+n+2$)th-order Lax pairs”, TMF, 216:2 (2023), 315–325; Theoret. and Math. Phys., 216:2 (2023), 1180–1188
Citation in format AMSBIB
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\transl
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\yr 2023
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\crossref{https://doi.org/10.1134/S0040577923080093}
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    • This publication is cited in the following 54 articles:
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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