Leading-order temporal asymptotics of the Fokas-Lenells Equation without solitons

2013/08/03 by Xu Jian, Xu, Jian, Engui Fan +1
Mathematics · Physics and Astronomy · #Differential Equations and Numerical Methods #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #Numerical methods for differential equations

paper · pdf · doi:10.48550/arxiv.1308.0755

openalex publication_date 2013/08/03 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We use the Deift-Zhou method to obtain, in the solitonless sector, the leading order asymptotic of the solution to the Cauchy problem of the Fokas-Lenells equation as t\ra+∞ on the full-line.

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