Geodesic
The initial-boundary value for the combined Schrödinger and Gerdjikov–Ivanov equation on the half-line via the Riemann–Hilbert approach
Teoretičeskaâ i matematičeskaâ fizika, Tome 209 (2021) no. 2, pp. 258-273 Cet article a éte moissonné depuis la source Math-Net.Ru

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The Fokas method is used to study the initial-boundary value problem for the combined Schrödinger and Gerdjikov–Ivanov equation on the half-line. Assuming that the solution $u(x,t)$ exists, it can be represented by the unique solution of a matrix Riemann–Hilbert problem formulated on the plane of the complex spectral parameter $\xi$. The jump matrices are given on the basis of the spectral functions, which are not independent, but are related by a global relation.
Keywords: Riemann–Hilbert problem; combined nonlinear Schrödinger and Gerdjikov–Ivanov equation; initial-boundary value problem; unified transform method. 
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Yan Li; Ling Zhang; Beibei Hu; Ruiqi Wang. The initial-boundary value for the combined Schrödinger and Gerdjikov–Ivanov equation on the half-line via the Riemann–Hilbert approach. Teoretičeskaâ i matematičeskaâ fizika, Tome 209 (2021) no. 2, pp. 258-273. http://geodesic.mathdoc.fr/item/TMF_2021_209_2_a3/

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