Uniqueness of Traveling Waves for a Two-Dimensional Bistable Periodic Lattice Dynamical System
We study traveling waves for a two-dimensional lattice dynamical system with bistable nonlinearity in periodic media. The existence and the monotonicity in time of traveling waves can be derived in the same way as the one-dimensional lattice case. In this paper, we derive the uniqueness of nonzero s...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/289168 |
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| _version_ | 1832565571354361856 |
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| author | Chin-Chin Wu |
| author_facet | Chin-Chin Wu |
| author_sort | Chin-Chin Wu |
| collection | DOAJ |
| description | We study traveling waves for a two-dimensional lattice dynamical system with
bistable nonlinearity in periodic media. The existence and the monotonicity in time of
traveling waves can be derived in the same way as the one-dimensional lattice case. In this
paper, we derive the uniqueness of nonzero speed traveling waves by using the comparison
principle and the sliding method. |
| format | Article |
| id | doaj-art-33a207d9fad446d99046f8e31fd9d5df |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-33a207d9fad446d99046f8e31fd9d5df2025-02-03T01:07:14ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/289168289168Uniqueness of Traveling Waves for a Two-Dimensional Bistable Periodic Lattice Dynamical SystemChin-Chin Wu0Department of Applied Mathematics, National Chung Hsing University, 250 Kuo Kuang Road, Taichung 402, TaiwanWe study traveling waves for a two-dimensional lattice dynamical system with bistable nonlinearity in periodic media. The existence and the monotonicity in time of traveling waves can be derived in the same way as the one-dimensional lattice case. In this paper, we derive the uniqueness of nonzero speed traveling waves by using the comparison principle and the sliding method.http://dx.doi.org/10.1155/2012/289168 |
| spellingShingle | Chin-Chin Wu Uniqueness of Traveling Waves for a Two-Dimensional Bistable Periodic Lattice Dynamical System Abstract and Applied Analysis |
| title | Uniqueness of Traveling Waves for a Two-Dimensional Bistable Periodic Lattice Dynamical System |
| title_full | Uniqueness of Traveling Waves for a Two-Dimensional Bistable Periodic Lattice Dynamical System |
| title_fullStr | Uniqueness of Traveling Waves for a Two-Dimensional Bistable Periodic Lattice Dynamical System |
| title_full_unstemmed | Uniqueness of Traveling Waves for a Two-Dimensional Bistable Periodic Lattice Dynamical System |
| title_short | Uniqueness of Traveling Waves for a Two-Dimensional Bistable Periodic Lattice Dynamical System |
| title_sort | uniqueness of traveling waves for a two dimensional bistable periodic lattice dynamical system |
| url | http://dx.doi.org/10.1155/2012/289168 |
| work_keys_str_mv | AT chinchinwu uniquenessoftravelingwavesforatwodimensionalbistableperiodiclatticedynamicalsystem |