Travelling wave solutions for higher-order wave equations of KDV type (III)
By using the theory of planar dynamical systems to the travellingwave equation of a higher order nonlinear wave equations of KdV type, theexistence of smooth solitary wave, kink wave and anti-kink wave solutions anduncountably infinite many smooth and non-smooth periodic wave solutions areproved. In...
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| Format: | Article |
| Language: | English |
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AIMS Press
2005-10-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2006.3.125 |
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| _version_ | 1832590297689751552 |
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| author | Jibin Li Weigou Rui Yao Long Bin He |
| author_facet | Jibin Li Weigou Rui Yao Long Bin He |
| author_sort | Jibin Li |
| collection | DOAJ |
| description | By using the theory of planar dynamical systems to the travellingwave equation of a higher order nonlinear wave equations of KdV type, theexistence of smooth solitary wave, kink wave and anti-kink wave solutions anduncountably infinite many smooth and non-smooth periodic wave solutions areproved. In different regions of the parametric space, the sufficient conditions toguarantee the existence of the above solutions are given. In some conditions,exact explicit parametric representations of these waves are obtain. |
| format | Article |
| id | doaj-art-f4d6ea38a7914f748078f333b4153e01 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2005-10-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-f4d6ea38a7914f748078f333b4153e012025-01-24T01:51:11ZengAIMS PressMathematical Biosciences and Engineering1551-00182005-10-013112513510.3934/mbe.2006.3.125Travelling wave solutions for higher-order wave equations of KDV type (III)Jibin Li0Weigou Rui1Yao Long2Bin He3Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004Department of Mathematics, Honghe University, Mengzi, Yunnan 661100Department of Mathematics, Honghe University, Mengzi, Yunnan 661100Department of Mathematics, Honghe University, Mengzi, Yunnan 661100By using the theory of planar dynamical systems to the travellingwave equation of a higher order nonlinear wave equations of KdV type, theexistence of smooth solitary wave, kink wave and anti-kink wave solutions anduncountably infinite many smooth and non-smooth periodic wave solutions areproved. In different regions of the parametric space, the sufficient conditions toguarantee the existence of the above solutions are given. In some conditions,exact explicit parametric representations of these waves are obtain.https://www.aimspress.com/article/doi/10.3934/mbe.2006.3.125wave equation of kdv type.travelling wave solutions |
| spellingShingle | Jibin Li Weigou Rui Yao Long Bin He Travelling wave solutions for higher-order wave equations of KDV type (III) Mathematical Biosciences and Engineering wave equation of kdv type. travelling wave solutions |
| title | Travelling wave solutions for higher-order wave equations of KDV type (III) |
| title_full | Travelling wave solutions for higher-order wave equations of KDV type (III) |
| title_fullStr | Travelling wave solutions for higher-order wave equations of KDV type (III) |
| title_full_unstemmed | Travelling wave solutions for higher-order wave equations of KDV type (III) |
| title_short | Travelling wave solutions for higher-order wave equations of KDV type (III) |
| title_sort | travelling wave solutions for higher order wave equations of kdv type iii |
| topic | wave equation of kdv type. travelling wave solutions |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2006.3.125 |
| work_keys_str_mv | AT jibinli travellingwavesolutionsforhigherorderwaveequationsofkdvtypeiii AT weigourui travellingwavesolutionsforhigherorderwaveequationsofkdvtypeiii AT yaolong travellingwavesolutionsforhigherorderwaveequationsofkdvtypeiii AT binhe travellingwavesolutionsforhigherorderwaveequationsofkdvtypeiii |