Long-time asymptotics for initial-boundary value problems of integrable Fokas-Lenells equation on the half-line

Abstract

We study the Schwartz class of initial-boundary value (IBV) problems for the integrable Fokas-Lenells equation on the half-line via the Deift-Zhou's nonlinear descent method analysis of the corresponding Riemann-Hilbert problem such that the asymptotics of the Schwartz class of IBV problems as t\to\infty is presented.

34 pages, 7 figures, this is the revised version

Cited by in corpus (2)

• The coupled Fokas-Lenells equations by a Riemann-Hilbert approach
• A Riemann-Hilbert Approach to the Kundu-Eckhaus Equation on the half-Line