Extensions of the discrete KP hierarchy and its strict version

G. F. Helminck; V. A. Poberezhny; S. V. Polenkova

doi:10.1134/S0040577920090044

Extensions of the discrete KP hierarchy and its strict version

G. F. Helminck^*, V. A. Poberezhny, S. V. Polenkova

^*Corresponding author for this work

Research output: Contribution to journal › Article › Academic › peer-review

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Abstract

Abstract: We show that both the dKP hierarchy and its strict version can be extended to a wider class of deformations satisfying a larger set of Lax equations. We prove that both extended hierarchies have appropriate linearizations allowing a geometric construction of their solutions.

Original language	English
Pages (from-to)	1140-1153
Number of pages	14
Journal	Theoretical and Mathematical Physics(Russian Federation)
Volume	204
Issue number	3
DOIs	https://doi.org/10.1134/S0040577920090044
Publication status	Published - 1 Sept 2020

Keywords

geometric construction of solutions
hierarchy
linearization
oscillating matrix
pseudodifference operator
wave matrix
n/a OA procedure

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10.1134/S0040577920090044

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title = "Extensions of the discrete KP hierarchy and its strict version",

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keywords = "geometric construction of solutions, hierarchy, linearization, oscillating matrix, pseudodifference operator, wave matrix, n/a OA procedure",

author = "Helminck, {G. F.} and Poberezhny, {V. A.} and Polenkova, {S. V.}",

note = "Funding Information: The research of V. A. Poberezhny was performed at the Center for Advanced Studies, Skolkovo Institute of Science and Technology, and was supported by a grant from the Russian Science Foundation (Project No. 19-11-00275). Publisher Copyright: {\textcopyright} 2020, Pleiades Publishing, Ltd.",

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AU - Polenkova, S. V.

N1 - Funding Information: The research of V. A. Poberezhny was performed at the Center for Advanced Studies, Skolkovo Institute of Science and Technology, and was supported by a grant from the Russian Science Foundation (Project No. 19-11-00275). Publisher Copyright: © 2020, Pleiades Publishing, Ltd.

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Y1 - 2020/9/1

N2 - Abstract: We show that both the dKP hierarchy and its strict version can be extended to a wider class of deformations satisfying a larger set of Lax equations. We prove that both extended hierarchies have appropriate linearizations allowing a geometric construction of their solutions.

AB - Abstract: We show that both the dKP hierarchy and its strict version can be extended to a wider class of deformations satisfying a larger set of Lax equations. We prove that both extended hierarchies have appropriate linearizations allowing a geometric construction of their solutions.

KW - geometric construction of solutions

KW - hierarchy

KW - linearization

KW - oscillating matrix

KW - pseudodifference operator

KW - wave matrix

KW - n/a OA procedure

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ER -

Extensions of the discrete KP hierarchy and its strict version

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Keywords

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