Optimal System and Group Invariant Solutions of the Whitham-Broer-Kaup System
From the nonlocal symmetries of the Whitham-Broer-Kaup system, an eight-dimensional Lie algebra is found and the corresponding one-dimensional optimal system is constructed to provide an inequivalent classification. Six types of inequivalent group invariant solutions are demonstrated, some of which...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2019/1892481 |
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| _version_ | 1850228461077004288 |
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| author | Xiaorui Hu Yongyang Jin Kai Zhou |
| author_facet | Xiaorui Hu Yongyang Jin Kai Zhou |
| author_sort | Xiaorui Hu |
| collection | DOAJ |
| description | From the nonlocal symmetries of the Whitham-Broer-Kaup system, an eight-dimensional Lie algebra is found and the corresponding one-dimensional optimal system is constructed to provide an inequivalent classification. Six types of inequivalent group invariant solutions are demonstrated, some of which reflect the interactions between soliton and other nonlinear waves. |
| format | Article |
| id | doaj-art-2bba3f03c72c4d80ac668f0ed3286c20 |
| institution | OA Journals |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-2bba3f03c72c4d80ac668f0ed3286c202025-08-20T02:04:31ZengWileyAdvances in Mathematical Physics1687-91201687-91392019-01-01201910.1155/2019/18924811892481Optimal System and Group Invariant Solutions of the Whitham-Broer-Kaup SystemXiaorui Hu0Yongyang Jin1Kai Zhou2Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310023, ChinaDepartment of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310023, ChinaDepartment of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310023, ChinaFrom the nonlocal symmetries of the Whitham-Broer-Kaup system, an eight-dimensional Lie algebra is found and the corresponding one-dimensional optimal system is constructed to provide an inequivalent classification. Six types of inequivalent group invariant solutions are demonstrated, some of which reflect the interactions between soliton and other nonlinear waves.http://dx.doi.org/10.1155/2019/1892481 |
| spellingShingle | Xiaorui Hu Yongyang Jin Kai Zhou Optimal System and Group Invariant Solutions of the Whitham-Broer-Kaup System Advances in Mathematical Physics |
| title | Optimal System and Group Invariant Solutions of the Whitham-Broer-Kaup System |
| title_full | Optimal System and Group Invariant Solutions of the Whitham-Broer-Kaup System |
| title_fullStr | Optimal System and Group Invariant Solutions of the Whitham-Broer-Kaup System |
| title_full_unstemmed | Optimal System and Group Invariant Solutions of the Whitham-Broer-Kaup System |
| title_short | Optimal System and Group Invariant Solutions of the Whitham-Broer-Kaup System |
| title_sort | optimal system and group invariant solutions of the whitham broer kaup system |
| url | http://dx.doi.org/10.1155/2019/1892481 |
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