Global well-posedness for coupled system of mKdV equations in analytic spaces
type: Item
instance of: scholarly article
title: Global well-posedness for coupled system of mKdV equations in analytic spaces
zbMATH Open document ID: 1467.35296
DOI: 10.1155/2021/6614375
author: Khaled Zennir
author: Aissa Boukarou
author: Rehab Nasser Alkhudhayr
published in: Journal of Function Spaces
publication date: 2021-05-04T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35A02
zbMATH DE Number: 7343378
zbMATH Keywords: modified Korteweg-de Vries (mKdV) equations
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/6614375
OpenAlex ID: W3135777819
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description: scientific article; zbMATH DE number 7343378