Global solution to the complex short pulse equation
This paper deals with global well-posedness of the solution to the complex short pulse equation. We first use regularized technology and the approximation argument to prove the local existence and uniqueness of this equation. Then, based on conserved quantities and energy analysis, we show that the...
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-08-01
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| Series: | Electronic Research Archive |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/era.2024220 |
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| _version_ | 1832590809525911552 |
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| author | Liju Yu Jingjun Zhang |
| author_facet | Liju Yu Jingjun Zhang |
| author_sort | Liju Yu |
| collection | DOAJ |
| description | This paper deals with global well-posedness of the solution to the complex short pulse equation. We first use regularized technology and the approximation argument to prove the local existence and uniqueness of this equation. Then, based on conserved quantities and energy analysis, we show that the solution can be extended globally in time for suitably small initial data. |
| format | Article |
| id | doaj-art-48de80aa9c6b4c038641820f8db12a08 |
| institution | Kabale University |
| issn | 2688-1594 |
| language | English |
| publishDate | 2024-08-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Electronic Research Archive |
| spelling | doaj-art-48de80aa9c6b4c038641820f8db12a082025-01-23T07:51:27ZengAIMS PressElectronic Research Archive2688-15942024-08-013284809482710.3934/era.2024220Global solution to the complex short pulse equationLiju Yu0Jingjun Zhang1Department of Mathematics, College of Data Science, Jiaxing University, Jiaxing 314001, ChinaDepartment of Mathematics, College of Data Science, Jiaxing University, Jiaxing 314001, ChinaThis paper deals with global well-posedness of the solution to the complex short pulse equation. We first use regularized technology and the approximation argument to prove the local existence and uniqueness of this equation. Then, based on conserved quantities and energy analysis, we show that the solution can be extended globally in time for suitably small initial data.https://www.aimspress.com/article/doi/10.3934/era.2024220complex short pulse equationconserved quantitiesregularized solutionenergy methoduniqueness |
| spellingShingle | Liju Yu Jingjun Zhang Global solution to the complex short pulse equation Electronic Research Archive complex short pulse equation conserved quantities regularized solution energy method uniqueness |
| title | Global solution to the complex short pulse equation |
| title_full | Global solution to the complex short pulse equation |
| title_fullStr | Global solution to the complex short pulse equation |
| title_full_unstemmed | Global solution to the complex short pulse equation |
| title_short | Global solution to the complex short pulse equation |
| title_sort | global solution to the complex short pulse equation |
| topic | complex short pulse equation conserved quantities regularized solution energy method uniqueness |
| url | https://www.aimspress.com/article/doi/10.3934/era.2024220 |
| work_keys_str_mv | AT lijuyu globalsolutiontothecomplexshortpulseequation AT jingjunzhang globalsolutiontothecomplexshortpulseequation |