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The Fokas-Lenells equation on the finite interval |
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| Authors: | Yu XIAO Engui FAN Jian XU |
| Institution: | College of Information and Management Science, Henan Agricultural University, Henan 450046, China;School of Mathematical Science, Fudan University, Shanghai 200433, China;College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China |
| 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. |
| Keywords: | Fokas-Lenells equation Initial-boundary value problem Riemann-Hilbert problem linearizable boundary conditions |
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