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Symmetry, Integrability and Geometry: Methods and Applications, 2013, Volume 9, 035, 16 pp.
DOI: https://doi.org/10.3842/SIGMA.2013.035 (Mi sigma818) 		 
This article is cited in 9 scientific papers (total in 9 papers)

On Addition Formulae of KP, mKP and BKP Hierarchies

Yoko Shigyo

Department of Mathematics, Tsuda College, Kodaira, Tokyo, 187-8577, Japan
Full-text PDF (369 kB) Citations (9)
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DOI: https://doi.org/10.3842/SIGMA.2013.035
Abstract: In this paper we study the addition formulae of the KP, the mKP and the BKP hierarchies. We prove that the total hierarchies are equivalent to the simplest equations of their addition formulae. In the case of the KP and the mKP hierarchies those results had previously been proved by Noumi, Takasaki and Takebe by way of wave functions. Here we give alternative and direct proofs for the case of the KP and mKP hierarchies. Our method can equally be applied to the BKP hierarchy.
Keywords: KP hierarchy; modified KP hierarchy; BKP hierarchy.
Received: December 12, 2012; in final form April 4, 2013; Published online April 23, 2013
Bibliographic databases:
Document Type: Article
MSC: 14H70; 37K10; 37K20
Language: English
Citation: Yoko Shigyo, “On Addition Formulae of KP, mKP and BKP Hierarchies”, SIGMA, 9 (2013), 035, 16 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 9 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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