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Teoreticheskaya i Matematicheskaya Fizika, 2022, Volume 210, Number 1, Pages 99–114
DOI: https://doi.org/10.4213/tmf10119 (Mi tmf10119) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the integrability of a four-component super system

Liming Zang

Department of Mathematics, School of Science, China University of Mining and Technology, Beijing, China
Full-text PDF (467 kB) Citations (1)
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DOI: https://doi.org/10.4213/tmf10119
Abstract: A four-component system of the Camassa–Holm type depending on both bosonic and fermionic variables is proposed. This system is shown to be the compatibility condition for a pair of linear spectral problems in the Zakharov–Shabat form, and its infinitely many conservation laws and bi-Hamiltonian structure are established.
Keywords: spectral problem, conservation law, bi-Hamiltonian structure.
Funding agency Grant number
National Natural Science Foundation of China 11871471
11931017
Yue Qi Outstanding Scholar Project, China University of Mining and Technology 00-800015Z1177
This paper is supported by the National Natural Science Foundation of China (Grant Nos. 11871471 and 11931017), the Yue Qi Outstanding Scholar Project, China University of Mining and Technology, Beijing (Grant No. 00-800015Z1177).
Received: 26.04.2021
Revised: 08.08.2021
Published: 27.12.2021
English version:
Theoretical and Mathematical Physics, 2022, Volume 210, Issue 1, Pages 85–98
DOI: https://doi.org/10.1134/S0040577922010068
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Liming Zang, “On the integrability of a four-component super system”, TMF, 210:1 (2022), 99–114; Theoret. and Math. Phys., 210:1 (2022), 85–98
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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