@article{2bc911972a7b4db8a6bc3b9fdcfae5c1,
title = "Factorization technique for the modified Korteweg-de Vries equation",
abstract = "We study the large time asymptotics of solutions to the Cauchy problem for the modified Korteweg-de Vries equation (Formula presented) 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 [18].",
keywords = "Large time asymptotics, Modified Korteweg-de Vries equation, Self-similar solution",
author = "Nakao Hayashi and Naumkin, {Pavel I.}",
note = "Funding Information: We are grateful to an unknown referee for many useful suggestions and comments and letting us know the recent papers [9] and [11]. The work of N.H. is partially supported by JSPS KAKENHI Grant Numbers 25220702, 15H03630. The work of P.I.N. is partially supported by CONACYT and PAPIIT project IN100616. Publisher Copyright: {\textcopyright} 2016, Tokyo University of Science. All rights reserved.",
year = "2016",
language = "English",
volume = "52",
pages = "49--95",
journal = "SUT Journal of Mathematics",
issn = "0916-5746",
publisher = "Science University of Tokyo",
number = "1",
}