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].
| Original language | English |
|---|---|
| Pages (from-to) | 49-95 |
| Number of pages | 47 |
| Journal | SUT Journal of Mathematics |
| Volume | 52 |
| Issue number | 1 |
| Publication status | Published - 2016 |
| Externally published | Yes |
Keywords
- Large time asymptotics
- Modified Korteweg-de Vries equation
- Self-similar solution
ASJC Scopus subject areas
- Mathematics(all)