Rogue wave solutions and modulation instability for the mixed nonlinear Schrödinger equation

Rogue wave solutions and modulation instability for the mixed nonlinear Schrödinger equation

Via Darboux transformation (DT) algorithm, rogue wave and semi-rational solutions of the mixed nonlinear Schrödinger equation (MNLSE) will be derived. Meanwhile, the dynamic features of those solutions will be graphically analyzed. In addition, the modulation instability (MI) of the MNLSE will be di...

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Veröffentlicht in:Applied mathematics letters 2021-11, Vol.121, p.107450, Article 107450
Hauptverfasser: Liu, Ya-Hui, Guo, Rui, Li, Xing-Lan
Format: Artikel
Sprache:eng
Schlagworte:
Darboux transformation
Modulation instability
Rogue wave solutions
Semi-rational solutions
The mixed nonlinear Schrödinger equation
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Zusammenfassung:Via Darboux transformation (DT) algorithm, rogue wave and semi-rational solutions of the mixed nonlinear Schrödinger equation (MNLSE) will be derived. Meanwhile, the dynamic features of those solutions will be graphically analyzed. In addition, the modulation instability (MI) of the MNLSE will be discussed and it will be found that the existence range of rogue waves is strictly consistent with the zero frequency modulation instability region.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2021.107450