THE FOKAS-LENELLS EQUATION ON THE FINITE INTERVAL

被引：17
|
作者：
Xiao, Yu [1 ]
Fan, Engui [2 ]
Xu, Jian [3 ]
机构：
[1] Henan Agr Univ, Coll Informat & Management Sci, Zhengzhou 450046, Henan, Peoples R China
[2] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
[3] Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China
来源：
ACTA MATHEMATICA SCIENTIA | 2017年 / 37卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Fokas-Lenells equation; Initial-boundary value problem; Riemann-Hilbert problem; linearizable boundary conditions; NONLINEAR SCHRODINGER-EQUATION; EVOLUTION-EQUATIONS;
D O I：
10.1016/S0252-9602(17)30041-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Using the Fokas unified method, we consider the initial boundary value problem for the Fokas-Lenells equation on the finite interval. We present that the Neumann boundary data can be explicitly expressed by Dirichlet boundary conditions prescribed, and extend the idea of the linearizable boundary conditions for equations on the half line to Fokas-Lenells equation on the finite interval.
引用
收藏
页码：852 / 876
页数：25
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