Analyticity of the Cauchy Problem for a Three-Component Generalization of Camassa–Holm Equation
In this paper, we investigate the Cauchy problem for a three-component generalization of Camassa–Holm equation (G3CH equation henceforth) with analytic initial data. The analyticity of its solutions is proved in both variables, globally in space and locally in time.
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| Format: | Article |
| Language: | English |
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MDPI AG
2024-04-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/12/7/1085 |
| _version_ | 1797212218687750144 |
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| author | Cuiyun Shi Maojun Bin Zaiyun Zhang |
| author_facet | Cuiyun Shi Maojun Bin Zaiyun Zhang |
| author_sort | Cuiyun Shi |
| collection | DOAJ |
| description | In this paper, we investigate the Cauchy problem for a three-component generalization of Camassa–Holm equation (G3CH equation henceforth) with analytic initial data. The analyticity of its solutions is proved in both variables, globally in space and locally in time. |
| first_indexed | 2024-04-24T10:38:54Z |
| format | Article |
| id | doaj.art-3e76708f8b224ceab5c877a7247fa151 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-04-24T10:38:54Z |
| publishDate | 2024-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-3e76708f8b224ceab5c877a7247fa1512024-04-12T13:22:50ZengMDPI AGMathematics2227-73902024-04-01127108510.3390/math12071085Analyticity of the Cauchy Problem for a Three-Component Generalization of Camassa–Holm EquationCuiyun Shi0Maojun Bin1Zaiyun Zhang2School of Basic Science, Guilin University of Technology at Nanning, Nanning 530001, ChinaCenter for Applied Mathematics of Guangxi, Yulin Normal University, Yulin 537000, ChinaCenter for Applied Mathematics of Guangxi, Yulin Normal University, Yulin 537000, ChinaIn this paper, we investigate the Cauchy problem for a three-component generalization of Camassa–Holm equation (G3CH equation henceforth) with analytic initial data. The analyticity of its solutions is proved in both variables, globally in space and locally in time.https://www.mdpi.com/2227-7390/12/7/1085G3CH equationanalyticityabstract Cauchy–Kowalevski theorem |
| spellingShingle | Cuiyun Shi Maojun Bin Zaiyun Zhang Analyticity of the Cauchy Problem for a Three-Component Generalization of Camassa–Holm Equation Mathematics G3CH equation analyticity abstract Cauchy–Kowalevski theorem |
| title | Analyticity of the Cauchy Problem for a Three-Component Generalization of Camassa–Holm Equation |
| title_full | Analyticity of the Cauchy Problem for a Three-Component Generalization of Camassa–Holm Equation |
| title_fullStr | Analyticity of the Cauchy Problem for a Three-Component Generalization of Camassa–Holm Equation |
| title_full_unstemmed | Analyticity of the Cauchy Problem for a Three-Component Generalization of Camassa–Holm Equation |
| title_short | Analyticity of the Cauchy Problem for a Three-Component Generalization of Camassa–Holm Equation |
| title_sort | analyticity of the cauchy problem for a three component generalization of camassa holm equation |
| topic | G3CH equation analyticity abstract Cauchy–Kowalevski theorem |
| url | https://www.mdpi.com/2227-7390/12/7/1085 |
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