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

2017/10/18 by Shuyan Chen, Zhenya Yan, Chen, Shuyan +1
Mathematics · Physics and Astronomy · #35Q15 #35Q55 #37K40 #Advanced Mathematical Physics Problems #Algebraic structures and combinatorial models #Analysis of PDEs (math.AP) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #Quantum Physics (quant-ph)

paper · pdf · doi:10.48550/arxiv.1710.06563

openalex publication_date 2017/10/18 · openalex created_date 2017/11/10 · openalex updated_date 2026/08/04

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→∞ is presented.

Citations

• Long-time asymptotics for the derivative nonlinear Schrödinger equation on the half-line

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