A Matrix Lie Superalgebra and Its Applications
A matrix Lie superalgebra is established. As its applications, multicomponent super Ablowitz-Kaup-Newell-Segur (AKNS) equations and multicomponent super Dirac equations are constructed. By making use of supertrace identity, their super-Hamiltonian structures are presented, respectively.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2013/416520 |
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| _version_ | 1849396269793935360 |
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| author | Jingwei Han Jing Yu Jingsong He |
| author_facet | Jingwei Han Jing Yu Jingsong He |
| author_sort | Jingwei Han |
| collection | DOAJ |
| description | A matrix Lie superalgebra is established. As its applications, multicomponent super Ablowitz-Kaup-Newell-Segur (AKNS) equations and multicomponent super Dirac equations are constructed. By making use of supertrace identity, their super-Hamiltonian structures are presented, respectively. |
| format | Article |
| id | doaj-art-b51a16b894dc451f956010a7b8b07fb6 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-b51a16b894dc451f956010a7b8b07fb62025-08-20T03:39:22ZengWileyAdvances in Mathematical Physics1687-91201687-91392013-01-01201310.1155/2013/416520416520A Matrix Lie Superalgebra and Its ApplicationsJingwei Han0Jing Yu1Jingsong He2School of Information Engineering, Hangzhou Dianzi University, Hangzhou, Zhejiang 310018, ChinaSchool of Science, Hangzhou Dianzi University, Hangzhou, Zhejiang 310018, ChinaSchool of Science, Ningbo University, Ningbo, Zhejiang 315211, ChinaA matrix Lie superalgebra is established. As its applications, multicomponent super Ablowitz-Kaup-Newell-Segur (AKNS) equations and multicomponent super Dirac equations are constructed. By making use of supertrace identity, their super-Hamiltonian structures are presented, respectively.http://dx.doi.org/10.1155/2013/416520 |
| spellingShingle | Jingwei Han Jing Yu Jingsong He A Matrix Lie Superalgebra and Its Applications Advances in Mathematical Physics |
| title | A Matrix Lie Superalgebra and Its Applications |
| title_full | A Matrix Lie Superalgebra and Its Applications |
| title_fullStr | A Matrix Lie Superalgebra and Its Applications |
| title_full_unstemmed | A Matrix Lie Superalgebra and Its Applications |
| title_short | A Matrix Lie Superalgebra and Its Applications |
| title_sort | matrix lie superalgebra and its applications |
| url | http://dx.doi.org/10.1155/2013/416520 |
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