TY - JOUR T1 - Inverse Scattering Method and Applications AU - Guo , Boling AU - Chen , Shuyan JO - Annals of Applied Mathematics VL - 4 SP - 331 EP - 355 PY - 2021 DA - 2021/01 SN - 36 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/aam/18580.html KW - inverse scattering, Riemann-Hilbert problem, long-time asymptotics, initial value problem (IVP), initial boundary value problem (IBVP). AB -
We briefly introduce the applications of the inverse scattering method to some particular class of problems, which yield the exact solution or long time asymptotics in terms of the unique solution of a matrix Riemann-Hilbert problem formulated in the complex plane.