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Symmetry, Integrability and Geometry: Methods and Applications, 2012, Volume 8, 036, 28 pp.
DOI: https://doi.org/10.3842/SIGMA.2012.036 (Mi sigma713) 		 
This article is cited in 22 scientific papers (total in 22 papers)

CKP hierarchy, bosonic tau function and bosonization formulae

Johan W. van de Leura, Alexander Yu. Orlovb, Takahiro Shiotac

a Mathematical Institute, University of Utrecht, P.O. Box 80010, 3508 TA Utrecht, The Netherlands
b Nonlinear Wave Processes Laboratory, Oceanology Institute, 36 Nakhimovskii Prospect, Moscow 117851, Russia
c Mathematics Department, Faculty of Science, Kyoto University, Kyoto 606-8502, Japan
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DOI: https://doi.org/10.3842/SIGMA.2012.036
Abstract: We develop the theory of CKP hierarchy introduced in the papers of Kyoto school [Date E., Jimbo M., Kashiwara M., Miwa T., J. Phys. Soc. Japan 50 (1981), 3806–3812] (see also [Kac V.G., van de Leur J.W., Adv. Ser. Math. Phys., Vol. 7, World Sci. Publ., Teaneck, NJ, 1989, 369–406]). We present appropriate bosonization formulae. We show that in the context of the CKP theory certain orthogonal polynomials appear. These polynomials are polynomial both in even and odd (in Grassmannian sense) variables.
Keywords: integrable system, Pfaffian, Hafnian, symmetric functions, Schur type functions.
Received: January 17, 2012; in final form June 7, 2012; Published online June 22, 2012
Bibliographic databases:
Document Type: Article
MSC: 17B65; 17B67; 17B69; 20G43; 81R12
Language: English
Citation: Johan W. van de Leur, Alexander Yu. Orlov, Takahiro Shiota, “CKP hierarchy, bosonic tau function and bosonization formulae”, SIGMA, 8 (2012), 036, 28 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 22 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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