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.
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
.
DOI: 10.1016/S0252-9602(17)30041-3
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