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Riemann-Hilbert approach for multi-soliton solutions of a fifth-order nonlinear Schrodinger equation (1810.12559v1)
Published 30 Oct 2018 in math-ph and math.MP
Abstract: A fifth-order nonlinear Schrodinger equation which describes one-dimensional anisotropic Heisenberg ferromagnetic spin chain is under exploration in this paper. Starting from the spectral analysis of the Lax pair, a Riemann-Hilbert problem is set up. After solving the obtained Riemann-Hilbert problem with reflectionless case, we systematically derive multisoliton solutions for the fifth-order nonlinear Schrodinger equation. In addition, the localized structures and dynamic behaviors of one- and two-soliton solutions are shown vividly via a few plots.