Well-Posedness of a Hirota–Satsuma System Posed on a Half Line
This paper studies the initial boundary value problem of the Hirota–Satsuma system posed on the half line. ut−αuxxx+6uux=2βvvx,x>0,t>0,vt+vxxx+3uvx=0,x>0,t>0,ux,0=u0x,vx,0=v0x,x>0,u0,t=ft,v0,t=gt,t>0.. For −1/8<s<3/2,s≠1/2, we demonstrate that the abovementioned system is loc...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2023-01-01
|
| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2023/6211563 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849737881240731648 |
|---|---|
| author | Haiyan Lu |
| author_facet | Haiyan Lu |
| author_sort | Haiyan Lu |
| collection | DOAJ |
| description | This paper studies the initial boundary value problem of the Hirota–Satsuma system posed on the half line. ut−αuxxx+6uux=2βvvx,x>0,t>0,vt+vxxx+3uvx=0,x>0,t>0,ux,0=u0x,vx,0=v0x,x>0,u0,t=ft,v0,t=gt,t>0.. For −1/8<s<3/2,s≠1/2, we demonstrate that the abovementioned system is locally well-posed in Hsℝ×H1+sℝ by utilizing several analytic boundary forcing operators. |
| format | Article |
| id | doaj-art-8a56b9a9728d4fc99f15cddd45adc8a9 |
| institution | DOAJ |
| issn | 2314-4785 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-8a56b9a9728d4fc99f15cddd45adc8a92025-08-20T03:06:47ZengWileyJournal of Mathematics2314-47852023-01-01202310.1155/2023/6211563Well-Posedness of a Hirota–Satsuma System Posed on a Half LineHaiyan Lu0School of Information and EngineeringThis paper studies the initial boundary value problem of the Hirota–Satsuma system posed on the half line. ut−αuxxx+6uux=2βvvx,x>0,t>0,vt+vxxx+3uvx=0,x>0,t>0,ux,0=u0x,vx,0=v0x,x>0,u0,t=ft,v0,t=gt,t>0.. For −1/8<s<3/2,s≠1/2, we demonstrate that the abovementioned system is locally well-posed in Hsℝ×H1+sℝ by utilizing several analytic boundary forcing operators.http://dx.doi.org/10.1155/2023/6211563 |
| spellingShingle | Haiyan Lu Well-Posedness of a Hirota–Satsuma System Posed on a Half Line Journal of Mathematics |
| title | Well-Posedness of a Hirota–Satsuma System Posed on a Half Line |
| title_full | Well-Posedness of a Hirota–Satsuma System Posed on a Half Line |
| title_fullStr | Well-Posedness of a Hirota–Satsuma System Posed on a Half Line |
| title_full_unstemmed | Well-Posedness of a Hirota–Satsuma System Posed on a Half Line |
| title_short | Well-Posedness of a Hirota–Satsuma System Posed on a Half Line |
| title_sort | well posedness of a hirota satsuma system posed on a half line |
| url | http://dx.doi.org/10.1155/2023/6211563 |
| work_keys_str_mv | AT haiyanlu wellposednessofahirotasatsumasystemposedonahalfline |