The Integrability of a New Fractional Soliton Hierarchy and Its Application
Two fractional soliton equations are presented generated from the same spectral problem involved in a fractional potential by the zero-curvature representations. They are a kind of special reductions of the famous AKNS system. The two equations are integrable for they both possess explicit soliton s...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2022/2200092 |
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| _version_ | 1832565319221116928 |
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| author | Xiao-ming Zhu Jian-bing Zhang |
| author_facet | Xiao-ming Zhu Jian-bing Zhang |
| author_sort | Xiao-ming Zhu |
| collection | DOAJ |
| description | Two fractional soliton equations are presented generated from the same spectral problem involved in a fractional potential by the zero-curvature representations. They are a kind of special reductions of the famous AKNS system. The two equations are integrable for they both possess explicit soliton solutions constructed by the N−fold Darboux transformation. As an application of the obtained solutions, new soliton solutions of the classic 2+1-dimensional Kadometsev-Petviashvili (KP) equation are soughed out by a cubic polynomial relation. Dynamic properties are analyzed in detail. |
| format | Article |
| id | doaj-art-994a79025da744b7aa15c2370d96be05 |
| institution | Kabale University |
| issn | 1687-9139 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-994a79025da744b7aa15c2370d96be052025-02-03T01:08:46ZengWileyAdvances in Mathematical Physics1687-91392022-01-01202210.1155/2022/2200092The Integrability of a New Fractional Soliton Hierarchy and Its ApplicationXiao-ming Zhu0Jian-bing Zhang1School of Mathematics and StatisticsSchool of Mathematics and StatisticsTwo fractional soliton equations are presented generated from the same spectral problem involved in a fractional potential by the zero-curvature representations. They are a kind of special reductions of the famous AKNS system. The two equations are integrable for they both possess explicit soliton solutions constructed by the N−fold Darboux transformation. As an application of the obtained solutions, new soliton solutions of the classic 2+1-dimensional Kadometsev-Petviashvili (KP) equation are soughed out by a cubic polynomial relation. Dynamic properties are analyzed in detail.http://dx.doi.org/10.1155/2022/2200092 |
| spellingShingle | Xiao-ming Zhu Jian-bing Zhang The Integrability of a New Fractional Soliton Hierarchy and Its Application Advances in Mathematical Physics |
| title | The Integrability of a New Fractional Soliton Hierarchy and Its Application |
| title_full | The Integrability of a New Fractional Soliton Hierarchy and Its Application |
| title_fullStr | The Integrability of a New Fractional Soliton Hierarchy and Its Application |
| title_full_unstemmed | The Integrability of a New Fractional Soliton Hierarchy and Its Application |
| title_short | The Integrability of a New Fractional Soliton Hierarchy and Its Application |
| title_sort | integrability of a new fractional soliton hierarchy and its application |
| url | http://dx.doi.org/10.1155/2022/2200092 |
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