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