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Teoreticheskaya i Matematicheskaya Fizika, 2023, Volume 215, Number 3, Pages 437–464
DOI: https://doi.org/10.4213/tmf10423 (Mi tmf10423) 		 
This article is cited in 2 scientific papers (total in 2 papers)

A type of multicomponent nonisospectral generalized nonlinear Schrödinger hierarchies

Jianduo Yua, HaiFeng Wangb, Chuanzhong Lic

a School of Mathematics and Statistics, Ningbo University, Ningbo, China
b School of Science, Jimei University, Xiamen, China
c College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, China
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DOI: https://doi.org/10.4213/tmf10423
Abstract: We introduce a Lie algebra $A_1$ with an arbitrary constant $\alpha$ that can be used to solve nonisospectral problems. For a given higher-dimensional Lie algebra, we introduce two new classes of higher-dimensional Lie algebras extended by $A_1$. By solving the extended nonisospectral zero-curvature equations that correspond to nonisospectral problems, we derive several multicomponent nonisospectral hierarchies. For one of them, with the aid of the $Z^\varepsilon_N$-trace identity and given the Lax pairs, we obtain the bi-Hamilton structures.
Keywords: multicomponent nonisospectral hierarchy, $Z^\varepsilon_N$-trace identity, bi-Hamiltonian structure, nonisospectral problem.
Funding agency Grant number
National Natural Science Foundation of China 12071179
Scientific Research Start-Up Foundation of Jimei University ZQ2022024
Fujian Provincial Education Department JAT220172
This work was supported by the Scientific Research Start-Up Foundation of Jimei University (grant No. ZQ2022024), the Fujian Provincial Education Department (grant No. JAT220172), and the National Natural Science Foundation of China (grant No. 12071179).
Received: 08.12.2022
Revised: 08.12.2022
English version:
Theoretical and Mathematical Physics, 2023, Volume 215, Issue 3, Pages 837–861
DOI: https://doi.org/10.1134/S0040577923060077
Bibliographic databases:
Document Type: Article
MSC: 35Q55, 37K30
Language: Russian
Citation: Jianduo Yu, HaiFeng Wang, Chuanzhong Li, “A type of multicomponent nonisospectral generalized nonlinear Schrödinger hierarchies”, TMF, 215:3 (2023), 437–464; Theoret. and Math. Phys., 215:3 (2023), 837–861
Citation in format AMSBIB
\Bibitem{YuWanLi23}
\by Jianduo~Yu, HaiFeng~Wang, Chuanzhong~Li
\paper A~type of multicomponent nonisospectral generalized nonlinear Schr\"{o}dinger hierarchies
\jour TMF
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\vol 215
\issue 3
\pages 437--464
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\crossref{https://doi.org/10.4213/tmf10423}
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\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2023TMP...215..837Y}
\transl
\jour Theoret. and Math. Phys.
\yr 2023
\vol 215
\issue 3
\pages 837--861
\crossref{https://doi.org/10.1134/S0040577923060077}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85163287936}
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    • This publication is cited in the following 2 articles:
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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