Existence and Approximation of Manifolds for the Swift-Hohenberg Equation with a Parameter
The existence and approximation of manifolds for the Swift-Hohenberg equation with a proper parameter have mainly been studied. Using the backward-forward systems from Swift-Hohenberg equation, the existence and specific representation forms of manifolds for Swift-Hohenberg equation with a parameter...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2018/1423170 |
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| _version_ | 1832549388632719360 |
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| author | Yanfeng Guo Chunxiao Guo Donglong Li |
| author_facet | Yanfeng Guo Chunxiao Guo Donglong Li |
| author_sort | Yanfeng Guo |
| collection | DOAJ |
| description | The existence and approximation of manifolds for the Swift-Hohenberg equation with a proper parameter have mainly been studied. Using the backward-forward systems from Swift-Hohenberg equation, the existence and specific representation forms of manifolds for Swift-Hohenberg equation with a parameter have been obtained. Meanwhile, we make use of technique of deposition of lower and higher frequency spaces of solutions and assume the reduced system to obtain the main numeration approximation system of approximation solution for the original system Swift-Hohenberg equation with a proper parameter. |
| format | Article |
| id | doaj-art-824824669ef749fcb3165ea088df92ed |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-824824669ef749fcb3165ea088df92ed2025-02-03T06:11:28ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2018-01-01201810.1155/2018/14231701423170Existence and Approximation of Manifolds for the Swift-Hohenberg Equation with a ParameterYanfeng Guo0Chunxiao Guo1Donglong Li2School of Science, Guangxi University of Science and Technology, Liuzhou, Guangxi 545006, ChinaDepartment of Mathematics, China University of Mining and Technology Beijing 100083, ChinaSchool of Science, Guangxi University of Science and Technology, Liuzhou, Guangxi 545006, ChinaThe existence and approximation of manifolds for the Swift-Hohenberg equation with a proper parameter have mainly been studied. Using the backward-forward systems from Swift-Hohenberg equation, the existence and specific representation forms of manifolds for Swift-Hohenberg equation with a parameter have been obtained. Meanwhile, we make use of technique of deposition of lower and higher frequency spaces of solutions and assume the reduced system to obtain the main numeration approximation system of approximation solution for the original system Swift-Hohenberg equation with a proper parameter.http://dx.doi.org/10.1155/2018/1423170 |
| spellingShingle | Yanfeng Guo Chunxiao Guo Donglong Li Existence and Approximation of Manifolds for the Swift-Hohenberg Equation with a Parameter Discrete Dynamics in Nature and Society |
| title | Existence and Approximation of Manifolds for the Swift-Hohenberg Equation with a Parameter |
| title_full | Existence and Approximation of Manifolds for the Swift-Hohenberg Equation with a Parameter |
| title_fullStr | Existence and Approximation of Manifolds for the Swift-Hohenberg Equation with a Parameter |
| title_full_unstemmed | Existence and Approximation of Manifolds for the Swift-Hohenberg Equation with a Parameter |
| title_short | Existence and Approximation of Manifolds for the Swift-Hohenberg Equation with a Parameter |
| title_sort | existence and approximation of manifolds for the swift hohenberg equation with a parameter |
| url | http://dx.doi.org/10.1155/2018/1423170 |
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