Global Well-Posedness for Coupled System of mKdV Equations in Analytic Spaces
The main result in this paper is to prove, in Bourgain type spaces, the existence of unique local solution to system of initial value problem described by integrable equations of modified Korteweg-de Vries (mKdV) by using linear and trilinear estimates, together with contraction mapping principle. M...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/6614375 |
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| author | Khaled Zennir Aissa Boukarou Rehab Nasser Alkhudhayr |
| author_facet | Khaled Zennir Aissa Boukarou Rehab Nasser Alkhudhayr |
| author_sort | Khaled Zennir |
| collection | DOAJ |
| description | The main result in this paper is to prove, in Bourgain type spaces, the existence of unique local solution to system of initial value problem described by integrable equations of modified Korteweg-de Vries (mKdV) by using linear and trilinear estimates, together with contraction mapping principle. Moreover, owing to the approximate conservation law, we prove the existence of global solution. |
| format | Article |
| id | doaj-art-c6654e7942014fccb6a28f3694b977f2 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-c6654e7942014fccb6a28f3694b977f22025-02-03T01:29:19ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/66143756614375Global Well-Posedness for Coupled System of mKdV Equations in Analytic SpacesKhaled Zennir0Aissa Boukarou1Rehab Nasser Alkhudhayr2Department of Mathematics, College of Sciences and Arts, Qassim University, Ar Rass, Saudi ArabiaLaboratoire de Mathématiques et Sciences Appliquées, Université de Ghardaia, AlgeriaDepartment of Mathematics, College of Sciences, Qassim University, Buraydah, Saudi ArabiaThe main result in this paper is to prove, in Bourgain type spaces, the existence of unique local solution to system of initial value problem described by integrable equations of modified Korteweg-de Vries (mKdV) by using linear and trilinear estimates, together with contraction mapping principle. Moreover, owing to the approximate conservation law, we prove the existence of global solution.http://dx.doi.org/10.1155/2021/6614375 |
| spellingShingle | Khaled Zennir Aissa Boukarou Rehab Nasser Alkhudhayr Global Well-Posedness for Coupled System of mKdV Equations in Analytic Spaces Journal of Function Spaces |
| title | Global Well-Posedness for Coupled System of mKdV Equations in Analytic Spaces |
| title_full | Global Well-Posedness for Coupled System of mKdV Equations in Analytic Spaces |
| title_fullStr | Global Well-Posedness for Coupled System of mKdV Equations in Analytic Spaces |
| title_full_unstemmed | Global Well-Posedness for Coupled System of mKdV Equations in Analytic Spaces |
| title_short | Global Well-Posedness for Coupled System of mKdV Equations in Analytic Spaces |
| title_sort | global well posedness for coupled system of mkdv equations in analytic spaces |
| url | http://dx.doi.org/10.1155/2021/6614375 |
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