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

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 $t\ra+\infty$ on the full-line.

47 pages. arXiv admin note: substantial text overlap with arXiv:solv-int/9701001 by other authors