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Abstract In this paper, we investigate a fourth-order dispersive nonlinear Schrodinger equation on the half-line, which has the physical applications in Heisenberg ferromagnetic spin. Solutions for this equation are expressed… Click to show full abstract
Abstract In this paper, we investigate a fourth-order dispersive nonlinear Schrodinger equation on the half-line, which has the physical applications in Heisenberg ferromagnetic spin. Solutions for this equation are expressed in form of the unique solution for Riemann-Hilbert problem on the complex k-plane. The related jump matrices are explicitly defined by the initial and boundary values, which are located in the Schwartz space. The global relation about the spectral functions is established.
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2020
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