Characteristics of rogue waves on a soliton background in the general three-component nonlinear Schrödinger equation

•We present the general three-component nonlinear Schrödinger equation.•The solutions are derived using a DT with an asymptotic expansion.•These localized waves display rogue waves on a multisoliton background.•Our results imply that more novel wave solutions exist in the multicomponent systems. Und...

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Bibliographic Details
Published in:Applied Mathematical Modelling 2020-12, Vol.88, p.688-700
Main Authors: Wang, Xiu-Bin, Han, Bo
Format: Article
Language:English
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Summary:•We present the general three-component nonlinear Schrödinger equation.•The solutions are derived using a DT with an asymptotic expansion.•These localized waves display rogue waves on a multisoliton background.•Our results imply that more novel wave solutions exist in the multicomponent systems. Under investigation in this work is the general three-component nonlinear Schrödinger equation, which is an important integrable system. The new localized wave solutions of the equation are derived using a Darboux-dressing transformation with an asymptotic expansion. These localized waves display rogue waves on a multisoliton background. Furthermore, the main characteristics of the new localized wave solutions are analyzed with some graphics. Our results indicate that more abundant and novel localized waves may exist in the multi-component coupled equations than in the uncoupled ones.
ISSN:0307-904X
1088-8691
0307-904X
DOI:10.1016/j.apm.2020.06.059