Links between (γn,σk)-KP Hierarchy, (γn,σk)-mKP Hierarchy, and (2+1)-(γn,σk)-Harry Dym Hierarchy
The new (2+1)-(γn,σk)-Harry Dym hierarchy and (γn,σk)-mKP hierarchy with two new time series γn and σk, which consist of γn-flow, σk-flow, and mixed γn and σk evolution equations of eigenfunctions, are proposed. Gauge transformations and reciprocal transformations between (γn,σk)-KP hierarchy, (γn,σ...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2015/392723 |
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| _version_ | 1841524776162557952 |
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| author | Yehui Huang Yuqin Yao Yunbo Zeng |
| author_facet | Yehui Huang Yuqin Yao Yunbo Zeng |
| author_sort | Yehui Huang |
| collection | DOAJ |
| description | The new (2+1)-(γn,σk)-Harry Dym hierarchy and (γn,σk)-mKP hierarchy with two new time series γn and σk, which consist of γn-flow, σk-flow, and mixed γn and σk evolution equations of eigenfunctions, are proposed. Gauge transformations and reciprocal transformations between (γn,σk)-KP hierarchy, (γn,σk)-mKP hierarchy, and (2+1)-(γn,σk)-Harry Dym hierarchy are studied. Their soliton solutions are presented. |
| format | Article |
| id | doaj-art-3de8e694f5d0459b8c07e860d814d365 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-3de8e694f5d0459b8c07e860d814d3652025-02-03T05:47:27ZengWileyAdvances in Mathematical Physics1687-91201687-91392015-01-01201510.1155/2015/392723392723Links between (γn,σk)-KP Hierarchy, (γn,σk)-mKP Hierarchy, and (2+1)-(γn,σk)-Harry Dym HierarchyYehui Huang0Yuqin Yao1Yunbo Zeng2School of Mathematics and Physics, North China Electric Power University, Beijing 102206, ChinaDepartment of Applied Mathematics, China Agricultural University, Beijing 100083, ChinaDepartment of Mathematical Science, Tsinghua University, Beijing 100084, ChinaThe new (2+1)-(γn,σk)-Harry Dym hierarchy and (γn,σk)-mKP hierarchy with two new time series γn and σk, which consist of γn-flow, σk-flow, and mixed γn and σk evolution equations of eigenfunctions, are proposed. Gauge transformations and reciprocal transformations between (γn,σk)-KP hierarchy, (γn,σk)-mKP hierarchy, and (2+1)-(γn,σk)-Harry Dym hierarchy are studied. Their soliton solutions are presented.http://dx.doi.org/10.1155/2015/392723 |
| spellingShingle | Yehui Huang Yuqin Yao Yunbo Zeng Links between (γn,σk)-KP Hierarchy, (γn,σk)-mKP Hierarchy, and (2+1)-(γn,σk)-Harry Dym Hierarchy Advances in Mathematical Physics |
| title | Links between (γn,σk)-KP Hierarchy, (γn,σk)-mKP Hierarchy, and (2+1)-(γn,σk)-Harry Dym Hierarchy |
| title_full | Links between (γn,σk)-KP Hierarchy, (γn,σk)-mKP Hierarchy, and (2+1)-(γn,σk)-Harry Dym Hierarchy |
| title_fullStr | Links between (γn,σk)-KP Hierarchy, (γn,σk)-mKP Hierarchy, and (2+1)-(γn,σk)-Harry Dym Hierarchy |
| title_full_unstemmed | Links between (γn,σk)-KP Hierarchy, (γn,σk)-mKP Hierarchy, and (2+1)-(γn,σk)-Harry Dym Hierarchy |
| title_short | Links between (γn,σk)-KP Hierarchy, (γn,σk)-mKP Hierarchy, and (2+1)-(γn,σk)-Harry Dym Hierarchy |
| title_sort | links between γn σk kp hierarchy γn σk mkp hierarchy and 2 1 γn σk harry dym hierarchy |
| url | http://dx.doi.org/10.1155/2015/392723 |
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