Long-time asymptotics for the Fokas-Lenells equation with decaying initial value problem: Without solitons

Long-time asymptotics for the Fokas-Lenells equation with decaying initial value problem: Without solitons
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DOI:
10.1016/j.jde.2015.02.046
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发表时间:
2015-08
影响因子:
2.4
通讯作者:
Jian Xu;E. Fan
Jian Xu;E. Fan
中科院分区:
数学2区
文献类型:
--
作者:
Jian Xu;E. Fan

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本文利用Deift-Zhou方法,在无孤子扇区内,得到了Fokas-Lenells方程Cauchy问题解在t→+∞时的首阶渐近解.
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→+∞ on the full-line.