Long-time behavior for the Cauchy problem of the 3-component Manakov system
Analysis of PDEs
2021-12-24 v2 Mathematical Physics
math.MP
Abstract
In this work, the Riemann-Hilbert problem for the 3-component Manakov system is formulated on the basis of the corresponding matrix spectral problem. Furthermore, by applying the nonlinear steepest descent techniques to an associated matrix valued Riemann-Hilbert problem, we can find leading-order asymptotics for the Cauchy problem of the 3-component Manakov system.
Keywords
Cite
@article{arxiv.1910.08674,
title = {Long-time behavior for the Cauchy problem of the 3-component Manakov system},
author = {Xiu-Bin Wang and Bo Han},
journal= {arXiv preprint arXiv:1910.08674},
year = {2021}
}