Solitons and dynamic properties of the coupled semidiscrete Hirota equation
In this paper, we obtain the coupled bright-bright and the coupled dark-dark soliton solutions for an integrable coupled semidiscrete Hirota equation (ICDHE) using the bilinear method. These solutions have both singular and nonsingular behaviors depending upon the choice of the parameters. The disti...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
AIP Publishing LLC
2013-02-01
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| Series: | AIP Advances |
| Online Access: | http://link.aip.org/link/doi/10.1063/1.4791765 |
| _version_ | 1829470622861754368 |
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| author | Hai-Qiong Zhao Zuo-Nong Zhu |
| author_facet | Hai-Qiong Zhao Zuo-Nong Zhu |
| author_sort | Hai-Qiong Zhao |
| collection | DOAJ |
| description | In this paper, we obtain the coupled bright-bright and the coupled dark-dark soliton solutions for an integrable coupled semidiscrete Hirota equation (ICDHE) using the bilinear method. These solutions have both singular and nonsingular behaviors depending upon the choice of the parameters. The distinguishing feature of the ICDHE is that the singular solution can possess some nonsingular characteristics in the discrete space at some time. The asymptotic behavior of these coupled bright-bright and the coupled dark-dark solitons is studied in order to explain their collision properties. |
| first_indexed | 2024-12-14T01:47:27Z |
| format | Article |
| id | doaj.art-f7bec21475fe465ea9c5167ac03953f9 |
| institution | Directory Open Access Journal |
| issn | 2158-3226 |
| language | English |
| last_indexed | 2024-12-14T01:47:27Z |
| publishDate | 2013-02-01 |
| publisher | AIP Publishing LLC |
| record_format | Article |
| series | AIP Advances |
| spelling | doaj.art-f7bec21475fe465ea9c5167ac03953f92022-12-21T23:21:30ZengAIP Publishing LLCAIP Advances2158-32262013-02-013202211102211110.1063/1.4791765Solitons and dynamic properties of the coupled semidiscrete Hirota equationHai-Qiong ZhaoZuo-Nong ZhuIn this paper, we obtain the coupled bright-bright and the coupled dark-dark soliton solutions for an integrable coupled semidiscrete Hirota equation (ICDHE) using the bilinear method. These solutions have both singular and nonsingular behaviors depending upon the choice of the parameters. The distinguishing feature of the ICDHE is that the singular solution can possess some nonsingular characteristics in the discrete space at some time. The asymptotic behavior of these coupled bright-bright and the coupled dark-dark solitons is studied in order to explain their collision properties.http://link.aip.org/link/doi/10.1063/1.4791765 |
| spellingShingle | Hai-Qiong Zhao Zuo-Nong Zhu Solitons and dynamic properties of the coupled semidiscrete Hirota equation AIP Advances |
| title | Solitons and dynamic properties of the coupled semidiscrete Hirota equation |
| title_full | Solitons and dynamic properties of the coupled semidiscrete Hirota equation |
| title_fullStr | Solitons and dynamic properties of the coupled semidiscrete Hirota equation |
| title_full_unstemmed | Solitons and dynamic properties of the coupled semidiscrete Hirota equation |
| title_short | Solitons and dynamic properties of the coupled semidiscrete Hirota equation |
| title_sort | solitons and dynamic properties of the coupled semidiscrete hirota equation |
| url | http://link.aip.org/link/doi/10.1063/1.4791765 |
| work_keys_str_mv | AT haiqiongzhao solitonsanddynamicpropertiesofthecoupledsemidiscretehirotaequation AT zuonongzhu solitonsanddynamicpropertiesofthecoupledsemidiscretehirotaequation |