WHEN THE SUPERSYMMETRY IS NOT ENOUGH: THE PARASUPERSYMMETRIC ALGEBRAS OF THE BOUSSINESQ EQUATIONS
In this article we look at a conundrum that the Boussinesq-type equations pose for mathematicians allowing a Miura-type transformation while at the same time exhibiting no trace of a supersymmetric structure. We demonstrate that this riddle should be unraveled by dropping the standard supersymmetri...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Gdańsk University of Technology
2016-04-01
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| Series: | TASK Quarterly |
| Subjects: | |
| Online Access: | https://journal.mostwiedzy.pl/TASKQuarterly/article/view/1846 |
| _version_ | 1811306798461747200 |
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| author | ALLA A. YUROVA ARTEM V. YUROV VALERIAN A. YUROV |
| author_facet | ALLA A. YUROVA ARTEM V. YUROV VALERIAN A. YUROV |
| author_sort | ALLA A. YUROVA |
| collection | DOAJ |
| description |
In this article we look at a conundrum that the Boussinesq-type equations pose for mathematicians allowing a Miura-type transformation while at the same time exhibiting no trace of a supersymmetric structure. We demonstrate that this riddle should be unraveled by dropping the standard supersymmetric approach in favor of its generalization: the “parasupersymmetry”.
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| first_indexed | 2024-04-13T08:52:11Z |
| format | Article |
| id | doaj.art-531974735e814f3b9ae400536656e326 |
| institution | Directory Open Access Journal |
| issn | 1428-6394 |
| language | English |
| last_indexed | 2024-04-13T08:52:11Z |
| publishDate | 2016-04-01 |
| publisher | Gdańsk University of Technology |
| record_format | Article |
| series | TASK Quarterly |
| spelling | doaj.art-531974735e814f3b9ae400536656e3262022-12-22T02:53:26ZengGdańsk University of TechnologyTASK Quarterly1428-63942016-04-0120210.17466/TQ2016/20.2/TWHEN THE SUPERSYMMETRY IS NOT ENOUGH: THE PARASUPERSYMMETRIC ALGEBRAS OF THE BOUSSINESQ EQUATIONSALLA A. YUROVA0ARTEM V. YUROV1VALERIAN A. YUROV2Immanuel Kant Baltic Federal University, Department of Physics and Technology; Kaliningrad State Technical University, Mathematics DepartmentImmanuel Kant Baltic Federal University, Department of Physics and TechnologyImmanuel Kant Baltic Federal University, Department of Physics and Technology In this article we look at a conundrum that the Boussinesq-type equations pose for mathematicians allowing a Miura-type transformation while at the same time exhibiting no trace of a supersymmetric structure. We demonstrate that this riddle should be unraveled by dropping the standard supersymmetric approach in favor of its generalization: the “parasupersymmetry”. https://journal.mostwiedzy.pl/TASKQuarterly/article/view/1846supersymmetryBoussinesq equation |
| spellingShingle | ALLA A. YUROVA ARTEM V. YUROV VALERIAN A. YUROV WHEN THE SUPERSYMMETRY IS NOT ENOUGH: THE PARASUPERSYMMETRIC ALGEBRAS OF THE BOUSSINESQ EQUATIONS TASK Quarterly supersymmetry Boussinesq equation |
| title | WHEN THE SUPERSYMMETRY IS NOT ENOUGH: THE PARASUPERSYMMETRIC ALGEBRAS OF THE BOUSSINESQ EQUATIONS |
| title_full | WHEN THE SUPERSYMMETRY IS NOT ENOUGH: THE PARASUPERSYMMETRIC ALGEBRAS OF THE BOUSSINESQ EQUATIONS |
| title_fullStr | WHEN THE SUPERSYMMETRY IS NOT ENOUGH: THE PARASUPERSYMMETRIC ALGEBRAS OF THE BOUSSINESQ EQUATIONS |
| title_full_unstemmed | WHEN THE SUPERSYMMETRY IS NOT ENOUGH: THE PARASUPERSYMMETRIC ALGEBRAS OF THE BOUSSINESQ EQUATIONS |
| title_short | WHEN THE SUPERSYMMETRY IS NOT ENOUGH: THE PARASUPERSYMMETRIC ALGEBRAS OF THE BOUSSINESQ EQUATIONS |
| title_sort | when the supersymmetry is not enough the parasupersymmetric algebras of the boussinesq equations |
| topic | supersymmetry Boussinesq equation |
| url | https://journal.mostwiedzy.pl/TASKQuarterly/article/view/1846 |
| work_keys_str_mv | AT allaayurova whenthesupersymmetryisnotenoughtheparasupersymmetricalgebrasoftheboussinesqequations AT artemvyurov whenthesupersymmetryisnotenoughtheparasupersymmetricalgebrasoftheboussinesqequations AT valerianayurov whenthesupersymmetryisnotenoughtheparasupersymmetricalgebrasoftheboussinesqequations |