Global Well-Posedness for Coupled System of mKdV Equations in Analytic Spaces | Zendy

Khaled Zennir | Zendy; Aissa Boukarou | Zendy; Rehab Nasser Alkhudhayr | Zendy

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Global Well-Posedness for Coupled System of mKdV Equations in Analytic Spaces

Author(s) -

Khaled Zennir,

Aissa Boukarou,

Rehab Nasser Alkhudhayr

Publication year - 2021

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.579

H-Index - 28

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2021/6614375

Subject(s) - integrable system , contraction (grammar) , mathematics , conservation law , contraction mapping , initial value problem , mathematical analysis , pure mathematics , fixed point , medicine

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.

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