SUT J. Math. 52 (1), 49-95, (June 2016) DOI: 10.55937/sut/1469055608
Nakao Hayashi, Pavel I. Naumkin
KEYWORDS: Modified Korteweg-de Vries equation, large time asymptotics, self-similar solution, 35Q35, 81Q05
We study the large time asymptotics of solutions to the Cauchy problem for the modified Korteweg-de Vries equation
We develop the factorization technique to obtain the large time asymptotics of solutions in the neighborhood of the self-similar solution in the case of nonzero total mass initial data. Our result is an improvement of the previous work .