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THE FOKAS-LENELLS EQUATION ON THE FINITE INTERVAL 被引量:2

THE FOKAS-LENELLS EQUATION ON THE FINITE INTERVAL
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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 Pokas-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 conditions for equations on the half line to Pokas-Lenells equation on the finite interval.
出处 《Acta Mathematica Scientia》 SCIE CSCD 2017年第3期852-876,共25页 数学物理学报(B辑英文版)
基金 supported by grants from the National Natural Science Foundation of China(11271079,11626090)
关键词 Fokas-Lenells equation Initial-boundary value problem Riemann-Hilbert prob-lem linearizable boundary conditions Fokas-Lenells equation Initial-boundary value problem Riemann-Hilbert prob-lem linearizable boundary conditions
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