Local and Nonlocal Reductions of Two Nonisospectral Ablowitz-Kaup-Newell-Segur Equations and Solutions
In this paper, local and nonlocal reductions of two nonisospectral Ablowitz-Kaup-Newell-Segur equations, the third order nonisospectral AKNS equation and the negative order nonisospectral AKNS equation, are studied. By imposing constraint conditions on the double Wronskian solutions of the aforesaid...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-12-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/13/1/23 |
| _version_ | 1797543595128913920 |
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| author | Hai Jing Xu Song Lin Zhao |
| author_facet | Hai Jing Xu Song Lin Zhao |
| author_sort | Hai Jing Xu |
| collection | DOAJ |
| description | In this paper, local and nonlocal reductions of two nonisospectral Ablowitz-Kaup-Newell-Segur equations, the third order nonisospectral AKNS equation and the negative order nonisospectral AKNS equation, are studied. By imposing constraint conditions on the double Wronskian solutions of the aforesaid nonisospectral AKNS equations, various solutions for the local and nonlocal nonisospectral modified Korteweg-de Vries equation and local and nonlocal nonisospectral sine-Gordon equation are derived, including soliton solutions and Jordan block solutions. Dynamics of some obtained solutions are analyzed and illustrated by asymptotic analysis. |
| first_indexed | 2024-03-10T13:47:52Z |
| format | Article |
| id | doaj.art-d35cfd59245d4a529139fab4d08d576a |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T13:47:52Z |
| publishDate | 2020-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-d35cfd59245d4a529139fab4d08d576a2023-11-21T02:28:40ZengMDPI AGSymmetry2073-89942020-12-011312310.3390/sym13010023Local and Nonlocal Reductions of Two Nonisospectral Ablowitz-Kaup-Newell-Segur Equations and SolutionsHai Jing Xu0Song Lin Zhao1Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310023, ChinaDepartment of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310023, ChinaIn this paper, local and nonlocal reductions of two nonisospectral Ablowitz-Kaup-Newell-Segur equations, the third order nonisospectral AKNS equation and the negative order nonisospectral AKNS equation, are studied. By imposing constraint conditions on the double Wronskian solutions of the aforesaid nonisospectral AKNS equations, various solutions for the local and nonlocal nonisospectral modified Korteweg-de Vries equation and local and nonlocal nonisospectral sine-Gordon equation are derived, including soliton solutions and Jordan block solutions. Dynamics of some obtained solutions are analyzed and illustrated by asymptotic analysis.https://www.mdpi.com/2073-8994/13/1/23nonisospectral AKNS type equationslocal and nonlocal nonisospectral mKdV equationlocal and nonlocal nonisospectral sG equationsolutionsdynamics |
| spellingShingle | Hai Jing Xu Song Lin Zhao Local and Nonlocal Reductions of Two Nonisospectral Ablowitz-Kaup-Newell-Segur Equations and Solutions Symmetry nonisospectral AKNS type equations local and nonlocal nonisospectral mKdV equation local and nonlocal nonisospectral sG equation solutions dynamics |
| title | Local and Nonlocal Reductions of Two Nonisospectral Ablowitz-Kaup-Newell-Segur Equations and Solutions |
| title_full | Local and Nonlocal Reductions of Two Nonisospectral Ablowitz-Kaup-Newell-Segur Equations and Solutions |
| title_fullStr | Local and Nonlocal Reductions of Two Nonisospectral Ablowitz-Kaup-Newell-Segur Equations and Solutions |
| title_full_unstemmed | Local and Nonlocal Reductions of Two Nonisospectral Ablowitz-Kaup-Newell-Segur Equations and Solutions |
| title_short | Local and Nonlocal Reductions of Two Nonisospectral Ablowitz-Kaup-Newell-Segur Equations and Solutions |
| title_sort | local and nonlocal reductions of two nonisospectral ablowitz kaup newell segur equations and solutions |
| topic | nonisospectral AKNS type equations local and nonlocal nonisospectral mKdV equation local and nonlocal nonisospectral sG equation solutions dynamics |
| url | https://www.mdpi.com/2073-8994/13/1/23 |
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