Super Hirota bilinear equations for the super modified BKP hierarchy
In this paper, the super modified BKP (SmBKP) hierarchy is constructed from the perspective of the neutral free superfermions by using highest weight representations of the infinite-dimensional Lie superalgebra b∞|∞(g). Based upon this, the corresponding super Hirota bilinear identity of the SmBKP h...
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| Format: | Article |
| Language: | English |
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Elsevier
2022-06-01
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| Series: | Physics Letters B |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269322001708 |
| _version_ | 1828747448611241984 |
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| author | Huizhan Chen |
| author_facet | Huizhan Chen |
| author_sort | Huizhan Chen |
| collection | DOAJ |
| description | In this paper, the super modified BKP (SmBKP) hierarchy is constructed from the perspective of the neutral free superfermions by using highest weight representations of the infinite-dimensional Lie superalgebra b∞|∞(g). Based upon this, the corresponding super Hirota bilinear identity of the SmBKP hierarchy is obtained by using the super Boson-Fermion correspondence of type B, and some specific examples of super Hirota bilinear equations are given. The super bilinear identity with respect to super wave and adjoint wave functions is also constructed. At last, we also give a class of solutions other than group orbit by the neutral free superfermions. |
| first_indexed | 2024-04-14T04:41:58Z |
| format | Article |
| id | doaj.art-8a734a036fdb4f9ebf97c6e5efbda49d |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-04-14T04:41:58Z |
| publishDate | 2022-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-8a734a036fdb4f9ebf97c6e5efbda49d2022-12-22T02:11:37ZengElsevierPhysics Letters B0370-26932022-06-01829137036Super Hirota bilinear equations for the super modified BKP hierarchyHuizhan Chen0School of Mathematics (Zhuhai), Sun Yat-sen University, Zhuhai, Guangdong, 519082, PR ChinaIn this paper, the super modified BKP (SmBKP) hierarchy is constructed from the perspective of the neutral free superfermions by using highest weight representations of the infinite-dimensional Lie superalgebra b∞|∞(g). Based upon this, the corresponding super Hirota bilinear identity of the SmBKP hierarchy is obtained by using the super Boson-Fermion correspondence of type B, and some specific examples of super Hirota bilinear equations are given. The super bilinear identity with respect to super wave and adjoint wave functions is also constructed. At last, we also give a class of solutions other than group orbit by the neutral free superfermions.http://www.sciencedirect.com/science/article/pii/S0370269322001708Super modified BKP hierarchiesNeutral free superfermionsHighest weight representationsSuper Hirota bilinear equationsSuper wave functionSolutions |
| spellingShingle | Huizhan Chen Super Hirota bilinear equations for the super modified BKP hierarchy Physics Letters B Super modified BKP hierarchies Neutral free superfermions Highest weight representations Super Hirota bilinear equations Super wave function Solutions |
| title | Super Hirota bilinear equations for the super modified BKP hierarchy |
| title_full | Super Hirota bilinear equations for the super modified BKP hierarchy |
| title_fullStr | Super Hirota bilinear equations for the super modified BKP hierarchy |
| title_full_unstemmed | Super Hirota bilinear equations for the super modified BKP hierarchy |
| title_short | Super Hirota bilinear equations for the super modified BKP hierarchy |
| title_sort | super hirota bilinear equations for the super modified bkp hierarchy |
| topic | Super modified BKP hierarchies Neutral free superfermions Highest weight representations Super Hirota bilinear equations Super wave function Solutions |
| url | http://www.sciencedirect.com/science/article/pii/S0370269322001708 |
| work_keys_str_mv | AT huizhanchen superhirotabilinearequationsforthesupermodifiedbkphierarchy |