Global well-posedness for coupled system of mKdV equations in analytic spaces (Q2024567)
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scientific article; zbMATH DE number 7343378
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| English | Global well-posedness for coupled system of mKdV equations in analytic spaces |
scientific article; zbMATH DE number 7343378 |
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Global well-posedness for coupled system of mKdV equations in analytic spaces (English)
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4 May 2021
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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.
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modified Korteweg-de Vries (mKdV) equations
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