THE FOKAS-LENELLS EQUATION ON THE FINITE INTERVAL

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 co...

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Bibliographic Details
Published in:Acta mathematica scientia 2017-05, Vol.37 (3), p.852-876
Main Author: 肖羽 范恩贵 徐建
Format: Article
Language:English
Subjects:
Fokas-Lenells equation
Initial-boundary value problem
linearizable boundary conditions
Riemann-Hilbert problem
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Summary: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 Pokas-Lenells equation on the finite interval.
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(17)30041-3