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

Spectral and soliton structures of the Sasa–Satsuma higher-order nonlinear Schrödinger equation 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Analysis and Mathematical Physics Springer Journals

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

Analysis and Mathematical Physics , Volume 11 (2) – Apr 19, 2021

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References (28)

Publisher
Springer Journals
Copyright
Copyright © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2021
ISSN
1664-2368
eISSN
1664-235X
DOI
10.1007/s13324-021-00532-1
Publisher site
See Article on Publisher Site

Abstract

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.

Journal

Analysis and Mathematical PhysicsSpringer Journals

Published: Apr 19, 2021

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