On the 3D consistency of a Grassmann extended lattice Boussinesq system
In this paper, we formulate a “Grassmann extension” scheme for constructing noncommutative (Grassmann) extensions of Yang-Baxter maps together with their associated systems of PΔEs, based on the ideas presented in [15]. Using this scheme, we first construct a Grassmann extension of a Yang-Baxter map...
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Elsevier
2020-02-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321319303645 |
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doaj-3fb957c591864b09a6e32289581aa7c02020-11-25T01:44:36ZengElsevierNuclear Physics B0550-32132020-02-01951On the 3D consistency of a Grassmann extended lattice Boussinesq systemSotiris Konstantinou-Rizos0Centre of Integrable Systems, P.G. Demidov Yaroslavl State University, RussiaIn this paper, we formulate a “Grassmann extension” scheme for constructing noncommutative (Grassmann) extensions of Yang-Baxter maps together with their associated systems of PΔEs, based on the ideas presented in [15]. Using this scheme, we first construct a Grassmann extension of a Yang-Baxter map which constitutes a lift of a lattice Boussinesq system. The Grassmann-extended Yang-Baxter map can be squeezed down to a novel, integrable, Grassmann lattice Boussinesq system, and we derive its 3D-consistent limit. We show that some systems retain their 3D-consistency property in their Grassmann extension.http://www.sciencedirect.com/science/article/pii/S0550321319303645 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Sotiris Konstantinou-Rizos |
| spellingShingle |
Sotiris Konstantinou-Rizos On the 3D consistency of a Grassmann extended lattice Boussinesq system Nuclear Physics B |
| author_facet |
Sotiris Konstantinou-Rizos |
| author_sort |
Sotiris Konstantinou-Rizos |
| title |
On the 3D consistency of a Grassmann extended lattice Boussinesq system |
| title_short |
On the 3D consistency of a Grassmann extended lattice Boussinesq system |
| title_full |
On the 3D consistency of a Grassmann extended lattice Boussinesq system |
| title_fullStr |
On the 3D consistency of a Grassmann extended lattice Boussinesq system |
| title_full_unstemmed |
On the 3D consistency of a Grassmann extended lattice Boussinesq system |
| title_sort |
on the 3d consistency of a grassmann extended lattice boussinesq system |
| publisher |
Elsevier |
| series |
Nuclear Physics B |
| issn |
0550-3213 |
| publishDate |
2020-02-01 |
| description |
In this paper, we formulate a “Grassmann extension” scheme for constructing noncommutative (Grassmann) extensions of Yang-Baxter maps together with their associated systems of PΔEs, based on the ideas presented in [15]. Using this scheme, we first construct a Grassmann extension of a Yang-Baxter map which constitutes a lift of a lattice Boussinesq system. The Grassmann-extended Yang-Baxter map can be squeezed down to a novel, integrable, Grassmann lattice Boussinesq system, and we derive its 3D-consistent limit. We show that some systems retain their 3D-consistency property in their Grassmann extension. |
| url |
http://www.sciencedirect.com/science/article/pii/S0550321319303645 |
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AT sotiriskonstantinourizos onthe3dconsistencyofagrassmannextendedlatticeboussinesqsystem |
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