Integrability aspects and multi-soliton solutions of a new coupled Gerdjikov–Ivanov derivative nonlinear Schrödinger equation

作者: Jianping Wu

DOI: 10.1007/S11071-019-04821-0

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摘要: In this paper, a new coupled Gerdjikov–Ivanov derivative nonlinear Schrodinger equation is proposed and its integrability aspects are studied by utilizing the inverse scattering transform. Firstly, performing spectral analysis of Lax pair, Riemann–Hilbert problems constructed their zero structures investigated. Secondly, solving particular problem corresponding to reflectionless case, multi-soliton solutions obtained for equation. Thirdly, soliton interaction dynamics analyzed graphically illustrated. These results not only show efficiency method in paper but also reveal that has complicated structures.

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