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Teoreticheskaya i Matematicheskaya Fizika, 2024, Volume 221, Number 2, Pages 331–352
DOI: https://doi.org/10.4213/tmf10768 (Mi tmf10768) 		 
On noncommutative modified KP systems

Zheng Wangab, Chuanzhong Licb

a School of Mathematical Sciences, Ocean University of China, Qingdao China
b School of Mathematics and Statistics, Ningbo University, Ningbo, China
c College of Mathematics and Systems Science, Shandong University of Science and Technology
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DOI: https://doi.org/10.4213/tmf10768
Abstract: We investigate the gauge transformations of the noncommutative modified KP hierarchy and the noncommutative constrained modified KP hierarchy in the Kupershmidt–Kiso version. By introducing the Orlov–Schulman operator, which depends on time variables and dressing operators, we construct the quantum torus symmetry for the noncommutative modified KP hierarchy. We also give a recursion operator for the noncommutative constrained modified KP hierarchy. We present an extended noncommutative modified KP hierarchy. The compatibility equations between the noncommutative modified KP flows and the extended noncommutative modified KP flows are constructed.
Keywords: noncommutative constrained modified KP hierarchy, quantum torus symmetries, gauge transformation, recursion operator, extended noncommutative modified KP hierarchy.
Funding agency Grant number
National Natural Science Foundation of China 12071237
Chuanzhong Li is supported by the National Natural Science Foundation of China (grant No. 12071237).
Received: 05.06.2024
Revised: 16.06.2024
English version:
Theoretical and Mathematical Physics, 2024, Volume 221, Issue 2, Pages 1882–1900
DOI: https://doi.org/10.1134/S0040577924110072
Bibliographic databases:
Document Type: Article
MSC: 35Q51; 35Q15; 37K10
Language: Russian
Citation: Zheng Wang, Chuanzhong Li, “On noncommutative modified KP systems”, TMF, 221:2 (2024), 331–352; Theoret. and Math. Phys., 221:2 (2024), 1882–1900
Citation in format AMSBIB
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\paper On noncommutative modified KP systems
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\pages 331--352
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\jour Theoret. and Math. Phys.
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\pages 1882--1900
\crossref{https://doi.org/10.1134/S0040577924110072}
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