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Teoreticheskaya i Matematicheskaya Fizika, 2002, Volume 130, Number 1, Pages 15–30
DOI: https://doi.org/10.4213/tmf288 (Mi tmf288) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Integrable Chains and Hierarchies of Differential Evolution Equations

A. K. Svinin

Institute of System Dynamics and Control Theory, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (264 kB) Citations (4)
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DOI: https://doi.org/10.4213/tmf288
Abstract: A class of integrable differential-difference systems is constructed based on auxiliary linear equations defined on sequences of Zakharov–Shabat formal dressing operators. We show that the auxiliary equations are compatible with the evolution equations for the Kadomtsev–Petviashvili (KP) hierarchy. The investigation results are used to elaborate a modified version of Krichever rational reductions for KP hierarchies.
Received: 16.04.2001
English version:
Theoretical and Mathematical Physics, 2002, Volume 130, Issue 1, Pages 11–24
DOI: https://doi.org/10.1023/A:1013872213595
Bibliographic databases:
Language: Russian
Citation: A. K. Svinin, “Integrable Chains and Hierarchies of Differential Evolution Equations”, TMF, 130:1 (2002), 15–30; Theoret. and Math. Phys., 130:1 (2002), 11–24
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf/v130/i1/p15
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:89
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