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

Research paper by Shuyan Chen, Zhenya Yan

Indexed on: 17 Oct '17Published on: 17 Oct '17Published in: arXiv - Nonlinear Sciences - Exactly Solvable and Integrable Systems



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.