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On Addition Formulae of KP, mKP and BKP Hierarchies
Symmetry, integrability and geometry: methods and applications, Tome 9 (2013) Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     author = {Yoko Shigyo},
     title = {On {Addition} {Formulae} of {KP,} {mKP} and {BKP} {Hierarchies}},
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     url = {http://geodesic.mathdoc.fr/item/SIGMA_2013_9_a34/}
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Yoko Shigyo. On Addition Formulae of KP, mKP and BKP Hierarchies. Symmetry, integrability and geometry: methods and applications, Tome 9 (2013). http://geodesic.mathdoc.fr/item/SIGMA_2013_9_a34/

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