Soliton and Similarity Solutions of<em> Ν = 2, 4 </em>Supersymmetric Equations
We produce soliton and similarity solutions of supersymmetric extensions of Burgers, Korteweg–de Vries and modified KdV equations. We give new representations of the τ -functions in Hirota bilinear formalism. Chiral superfields are used to obtain such solutions. We also introduce new solitons called...
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| Format: | Article |
| Language: | English |
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MDPI AG
2012-08-01
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| Series: | Symmetry |
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| Online Access: | http://www.mdpi.com/2073-8994/4/3/441 |
| _version_ | 1811305929703948288 |
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| author | Laurent Delisle Véronique Hussin |
| author_facet | Laurent Delisle Véronique Hussin |
| author_sort | Laurent Delisle |
| collection | DOAJ |
| description | We produce soliton and similarity solutions of supersymmetric extensions of Burgers, Korteweg–de Vries and modified KdV equations. We give new representations of the τ -functions in Hirota bilinear formalism. Chiral superfields are used to obtain such solutions. We also introduce new solitons called virtual solitons whose nonlinear interactions produce no phase shifts. |
| first_indexed | 2024-04-13T08:35:13Z |
| format | Article |
| id | doaj.art-1a76e8139c8642d288bc91e7271d6dcc |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-04-13T08:35:13Z |
| publishDate | 2012-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-1a76e8139c8642d288bc91e7271d6dcc2022-12-22T02:54:07ZengMDPI AGSymmetry2073-89942012-08-014344145110.3390/sym4030441Soliton and Similarity Solutions of<em> Ν = 2, 4 </em>Supersymmetric EquationsLaurent DelisleVéronique HussinWe produce soliton and similarity solutions of supersymmetric extensions of Burgers, Korteweg–de Vries and modified KdV equations. We give new representations of the τ -functions in Hirota bilinear formalism. Chiral superfields are used to obtain such solutions. We also introduce new solitons called virtual solitons whose nonlinear interactions produce no phase shifts.http://www.mdpi.com/2073-8994/4/3/441supersymmetric equationssolitonsHirota bilinear formalism |
| spellingShingle | Laurent Delisle Véronique Hussin Soliton and Similarity Solutions of<em> Ν = 2, 4 </em>Supersymmetric Equations Symmetry supersymmetric equations solitons Hirota bilinear formalism |
| title | Soliton and Similarity Solutions of<em> Ν = 2, 4 </em>Supersymmetric Equations |
| title_full | Soliton and Similarity Solutions of<em> Ν = 2, 4 </em>Supersymmetric Equations |
| title_fullStr | Soliton and Similarity Solutions of<em> Ν = 2, 4 </em>Supersymmetric Equations |
| title_full_unstemmed | Soliton and Similarity Solutions of<em> Ν = 2, 4 </em>Supersymmetric Equations |
| title_short | Soliton and Similarity Solutions of<em> Ν = 2, 4 </em>Supersymmetric Equations |
| title_sort | soliton and similarity solutions of lt em gt ν 2 4 lt em gt supersymmetric equations |
| topic | supersymmetric equations solitons Hirota bilinear formalism |
| url | http://www.mdpi.com/2073-8994/4/3/441 |
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