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...

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Bibliographic Details
Main Author: Haiyan Lu
Format: Article
Language:English
Published: Wiley 2023-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2023/6211563
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