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- W2998258112 abstract "In this article, we focus on the inverse scattering transformation for the Fokas-Lenells (FL) equation with nonzero boundary conditions via the Riemann-Hilbert (RH) approach. Based on the Lax pair of the FL equation, the analyticity and symmetry, asymptotic behavior of Jost solutions and scattering matrix are discussed in detail. With these results, we further present a generalized RH problem, from which a reconstruction formula between the solution of the FL equation and the Riemann-Hilbert problem is obtained. The N-soliton solutions of the FL equation is obtained via solving the RH problem." @default.
- W2998258112 created "2020-01-10" @default.
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- W2998258112 date "2019-12-27" @default.
- W2998258112 modified "2023-10-16" @default.
- W2998258112 title "Inverse scattering transformation for the Fokas-Lenells equation with nonzero boundary conditions" @default.
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- W2998258112 doi "https://doi.org/10.48550/arxiv.1912.12400" @default.
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