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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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Published in:Acta mathematica scientia 2017-05, Vol.37 (3), p.852-876
Main Author: 肖羽 范恩贵 徐建
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description 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.
doi_str_mv 10.1016/S0252-9602(17)30041-3
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subjects Fokas-Lenells equation
Initial-boundary value problem
linearizable boundary conditions
Riemann-Hilbert problem
title THE FOKAS-LENELLS EQUATION ON THE FINITE INTERVAL
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