THE FOKAS-LENELLS EQUATION ON THE FINITE INTERVAL

doi:10.1016/S0252-9602(17)30041-3

数学物理学报(英文版) ›› 2017, Vol. 37 ›› Issue (3): 852-876.doi: 10.1016/S0252-9602(17)30041-3

THE FOKAS-LENELLS EQUATION ON THE FINITE INTERVAL

肖羽¹, 范恩贵², 徐建³

1. College of Information and Management Science, Henan Agricultural University, Henan 450046, China;
2. School of Mathematical Science, Fudan University, Shanghai 200433, China;
3. College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China

收稿日期:2015-12-21 修回日期:2016-08-07 出版日期:2017-06-25 发布日期:2017-06-25
通讯作者: Yu XIAO E-mail:yuxiao5726@163.com
作者简介:Engui FAN,E-mail:faneg@fudan.edu.cn;Jian XU,E-mail:jianxu02@gmail.com
基金资助:
This work was supported by grants from the National Natural Science Foundation of China (11271079,11626090).

THE FOKAS-LENELLS EQUATION ON THE FINITE INTERVAL

Yu XIAO¹, Engui FAN², Jian XU³

1. College of Information and Management Science, Henan Agricultural University, Henan 450046, China;
2. School of Mathematical Science, Fudan University, Shanghai 200433, China;
3. College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China

Received:2015-12-21 Revised:2016-08-07 Online:2017-06-25 Published:2017-06-25
Supported by:
This work was supported by grants from the National Natural Science Foundation of China (11271079,11626090).

摘要/Abstract

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.

关键词: Fokas-Lenells equation, Initial-boundary value problem, Riemann-Hilbert problem, linearizable boundary conditions

Abstract: 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.

Key words: Fokas-Lenells equation, Initial-boundary value problem, Riemann-Hilbert problem, linearizable boundary conditions

肖羽, 范恩贵, 徐建. THE FOKAS-LENELLS EQUATION ON THE FINITE INTERVAL[J]. 数学物理学报(英文版), 2017, 37(3): 852-876.

Yu XIAO, Engui FAN, Jian XU. THE FOKAS-LENELLS EQUATION ON THE FINITE INTERVAL[J]. Acta mathematica scientia,Series B, 2017, 37(3): 852-876.

参考文献

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THE FOKAS-LENELLS EQUATION ON THE FINITE INTERVAL

THE FOKAS-LENELLS EQUATION ON THE FINITE INTERVAL

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