THE FOKAS-LENELLS EQUATION ON THE FINITE INTERVAL

doi:10.1016/S0252-9602(17)30041-3

Acta mathematica scientia,Series B ›› 2017, Vol. 37 ›› Issue (3): 852-876.doi: 10.1016/S0252-9602(17)30041-3

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THE FOKAS-LENELLS EQUATION ON THE FINITE INTERVAL

Yu XIAO¹, Engui FAN², Jian XU³

1. College of Information and Management Science, Henan Agricultural University, Henan 450046, China;
2. School of Mathematical Science, Fudan University, Shanghai 200433, China;
3. College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China

Received:2015-12-21 Revised:2016-08-07 Online:2017-06-25 Published:2017-06-25
Supported by:
This work was supported by grants from the National Natural Science Foundation of China (11271079,11626090).

Abstract

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.

Key words: Fokas-Lenells equation, Initial-boundary value problem, Riemann-Hilbert problem, linearizable boundary conditions

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.

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References

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THE FOKAS-LENELLS EQUATION ON THE FINITE INTERVAL

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