Geodesic
Tau-function of the~B-Toda hierarchy
Teoretičeskaâ i matematičeskaâ fizika, Tome 217 (2023) no. 2, pp. 299-316

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We continue the study of the B-Toda hierarchy (the Toda lattice with the constraint of type B), which can be regarded as a discretization of the BKP hierarchy. We introduce the tau function of the B-Toda hierarchy and obtain bilinear equations for it. Examples of soliton tau functions are presented in explicit form.
Keywords: Toda lattice, tau function
Mots-clés : soliton solutions. 
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     author = {A. V. Zabrodin and V. V. Prokofev},
     title = {Tau-function of {the~B-Toda} hierarchy},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     publisher = {mathdoc},
     volume = {217},
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     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2023_217_2_a3/}
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A. V. Zabrodin; V. V. Prokofev. Tau-function of the~B-Toda hierarchy. Teoretičeskaâ i matematičeskaâ fizika, Tome 217 (2023) no. 2, pp. 299-316. http://geodesic.mathdoc.fr/item/TMF_2023_217_2_a3/