Traveling Waves in the Underdamped Frenkel–Kontorova Model
This paper studies a damped Frenkel–Kontorova model with periodic boundary condition. By using Nash–Moser iteration scheme, we prove that such model has a family of smooth traveling wave solutions.
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| Main Authors: | , |
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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/10.1155/2018/7081804 |
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| _version_ | 1832560321109164032 |
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| author | Hengyan Li Shaowei Liu |
| author_facet | Hengyan Li Shaowei Liu |
| author_sort | Hengyan Li |
| collection | DOAJ |
| description | This paper studies a damped Frenkel–Kontorova model with periodic boundary condition. By using Nash–Moser iteration scheme, we prove that such model has a family of smooth traveling wave solutions. |
| format | Article |
| id | doaj-art-78ab755d18c041a1b05766bb5af9ec93 |
| 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-78ab755d18c041a1b05766bb5af9ec932025-02-03T01:27:49ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2018-01-01201810.1155/2018/70818047081804Traveling Waves in the Underdamped Frenkel–Kontorova ModelHengyan Li0Shaowei Liu1School of Mathematics and Information Sciences, North China University of Water Resources and Electric Power, Zhengzhou 450011, ChinaSchool of Energy Science and Engineering, Henan Polytechnic University, Jiaozuo 454000, ChinaThis paper studies a damped Frenkel–Kontorova model with periodic boundary condition. By using Nash–Moser iteration scheme, we prove that such model has a family of smooth traveling wave solutions.http://dx.doi.org/10.1155/2018/7081804 |
| spellingShingle | Hengyan Li Shaowei Liu Traveling Waves in the Underdamped Frenkel–Kontorova Model Discrete Dynamics in Nature and Society |
| title | Traveling Waves in the Underdamped Frenkel–Kontorova Model |
| title_full | Traveling Waves in the Underdamped Frenkel–Kontorova Model |
| title_fullStr | Traveling Waves in the Underdamped Frenkel–Kontorova Model |
| title_full_unstemmed | Traveling Waves in the Underdamped Frenkel–Kontorova Model |
| title_short | Traveling Waves in the Underdamped Frenkel–Kontorova Model |
| title_sort | traveling waves in the underdamped frenkel kontorova model |
| url | http://dx.doi.org/10.1155/2018/7081804 |
| work_keys_str_mv | AT hengyanli travelingwavesintheunderdampedfrenkelkontorovamodel AT shaoweiliu travelingwavesintheunderdampedfrenkelkontorovamodel |