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# Mathematical Physics

# Title: The coupled Fokas-Lenells equations by a Riemann-Hilbert approach

(Submitted on 9 Nov 2017 (this version),

*latest version 19 Nov 2017*(v2))Abstract: In this paper, we using the unified transform method to consider the initial-boundary value problem for the coupled Fokas-Lenells equations on the half-line, assuming that the solution $\{q(x,t),r(x,t)\}$ of the coupled Fokas-Lenells equations exists, we show that $\{q_x(x,t),r_x(x,t)\}$ can be expressed in terms of the unique solution of a matrix Riemann-Hilbert problem formulated in the plane of the complex spectral parameter $\lambda$. Thus, the solution $\{q(x,t),r(x,t)\}$ can be obtained by integration with respect to $x$.

## Submission history

From: Tiecheng Xia [view email]**[v1]**Thu, 9 Nov 2017 05:30:33 GMT (35kb,D)

**[v2]**Sun, 19 Nov 2017 09:44:33 GMT (35kb,D)

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