The Extension of Noncommutative Modified KP Hierarchy and Its Quasideterminant Solutions
The extended noncommutative modified KP (exncmKP) hierarchy is firstly constructed, which gives rise to two types of the ncmKP equation with self-consistent sources (ncmKPESCSs). Then, the noncommutative (NC) Miura transformation between the extended noncommutative KP (exncKP) hierarchy and the exnc...
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2024-11-01
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| author | Hongxia Wu Chunxia Li Haifeng Wang |
| author_facet | Hongxia Wu Chunxia Li Haifeng Wang |
| author_sort | Hongxia Wu |
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| description | The extended noncommutative modified KP (exncmKP) hierarchy is firstly constructed, which gives rise to two types of the ncmKP equation with self-consistent sources (ncmKPESCSs). Then, the noncommutative (NC) Miura transformation between the extended noncommutative KP (exncKP) hierarchy and the exncmKP hierarchy is presented, and the quasideterminant solutions of the exncmKP hierarchy are also given. As its byproduct, the quasideterminant solutions of two types of ncmKPESCSs are obtained. The matrix solutions of two types of ncmKPESCSs are finally investigated, and the impact of the source terms on the NC soliton is analyzed. |
| format | Article |
| id | doaj-art-080f7f5952324beabe07264593b292b2 |
| institution | OA Journals |
| issn | 2075-1680 |
| language | English |
| publishDate | 2024-11-01 |
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| spelling | doaj-art-080f7f5952324beabe07264593b292b22025-08-20T02:00:51ZengMDPI AGAxioms2075-16802024-11-01131281610.3390/axioms13120816The Extension of Noncommutative Modified KP Hierarchy and Its Quasideterminant SolutionsHongxia Wu0Chunxia Li1Haifeng Wang2Department of Mathematics, School of Sciences, Jimei University, Xiamen 361021, ChinaSchool of Mathematical Science, Capital Normal University, Beijing 100084, ChinaDepartment of Mathematics, School of Sciences, Jimei University, Xiamen 361021, ChinaThe extended noncommutative modified KP (exncmKP) hierarchy is firstly constructed, which gives rise to two types of the ncmKP equation with self-consistent sources (ncmKPESCSs). Then, the noncommutative (NC) Miura transformation between the extended noncommutative KP (exncKP) hierarchy and the exncmKP hierarchy is presented, and the quasideterminant solutions of the exncmKP hierarchy are also given. As its byproduct, the quasideterminant solutions of two types of ncmKPESCSs are obtained. The matrix solutions of two types of ncmKPESCSs are finally investigated, and the impact of the source terms on the NC soliton is analyzed.https://www.mdpi.com/2075-1680/13/12/816extended noncommutative mKP hierarchynoncommutative mKP equation with self-consistent sourcesnoncommutative Miura transformationquasi-Wronskian solutionsmatrix solutions |
| spellingShingle | Hongxia Wu Chunxia Li Haifeng Wang The Extension of Noncommutative Modified KP Hierarchy and Its Quasideterminant Solutions Axioms extended noncommutative mKP hierarchy noncommutative mKP equation with self-consistent sources noncommutative Miura transformation quasi-Wronskian solutions matrix solutions |
| title | The Extension of Noncommutative Modified KP Hierarchy and Its Quasideterminant Solutions |
| title_full | The Extension of Noncommutative Modified KP Hierarchy and Its Quasideterminant Solutions |
| title_fullStr | The Extension of Noncommutative Modified KP Hierarchy and Its Quasideterminant Solutions |
| title_full_unstemmed | The Extension of Noncommutative Modified KP Hierarchy and Its Quasideterminant Solutions |
| title_short | The Extension of Noncommutative Modified KP Hierarchy and Its Quasideterminant Solutions |
| title_sort | extension of noncommutative modified kp hierarchy and its quasideterminant solutions |
| topic | extended noncommutative mKP hierarchy noncommutative mKP equation with self-consistent sources noncommutative Miura transformation quasi-Wronskian solutions matrix solutions |
| url | https://www.mdpi.com/2075-1680/13/12/816 |
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