Boling Guo

TL;DR: In this article, the authors investigated the long-time asymptotics of the focusing Kundu-Eckhaus equation with nonzero boundary conditions at infinity by the nonlinear steepest descent method of Deift and Zhou.

TL;DR: In this article, a Riemann-Hilbert approach to the Cauchy problem on the line for a new type of coupled nonlinear Schrodinger (CNLS) equations was developed.

TL;DR: In this article, the authors consider the Hirota equation on the quarter plane with the initial and boundary values belonging to the Schwartz space and study the long-time behavior of the solution of this initial-boundary value problem based on the asymptotic analysis of an associated matrix Riemann-Hilbert problem.

TL;DR: In this article, an integrable extended modified Korteweg-de Vries equation on the line with the initial value belonging to the Schwartz space was investigated and the leading-order asymptotics of the solution of this initial value problem as time $t$ goes to infinity were obtained.

TL;DR: Family of structures of rogue wave, including rogue waves with one peak and two valleys, bright rogue waves without valleys while with onepeak or two peaks, are derived via Darboux transformation.