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Spectral and soliton structures of the Sasa–Satsuma higher-order nonlinear Schrödinger equation

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In this paper, the Riemann–Hilbert problem of the Sasa–Satsuma higher-order nonlinear Schrödinger equation is investigated, from which spectral and soliton structures are discussed in detail. In addition, an algebra technique is developed to illustrate the soliton structures using Mathematica symbolic computations by choosing suitable parameters, including breather-bell soliton, double-hump soliton, and bell-to-breather soliton interactions. The results show that the spectral and soliton structures of the Sasa–Satsuma higher-order nonlinear Schrödinger equation are more complicated than many other nonlinear Schrödinger type equations.

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Acknowledgements

The author is very grateful to the editor and the anonymous referee for their valuable suggestions. The author would also like to thank the support by the Collaborative Innovation Center for Aviation Economy Development of Henan Province.

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Wu, J. Spectral and soliton structures of the Sasa–Satsuma higher-order nonlinear Schrödinger equation. Anal.Math.Phys. 11, 97 (2021). https://doi.org/10.1007/s13324-021-00532-1

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