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 .
|Number of pages||47|
|Journal||SUT Journal of Mathematics|
|Publication status||Published - 2016|
- Large time asymptotics
- Modified Korteweg-de Vries equation
- Self-similar solution
ASJC Scopus subject areas