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Novel Rogue Waves for a Mixed Coupled Nonlinear Schrödinger Equation on Darboux-Dressing Transformation

Novel Rogue Waves for a Mixed Coupled Nonlinear Schrödinger Equation on Darboux-Dressing Transformation
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Year:    2022

Author:    Min-Jie Dong, Li-Xin Tian, Jing-Dong Wei

East Asian Journal on Applied Mathematics, Vol. 12 (2022), Iss. 1 : pp. 22–34

Abstract

Focusing-defocusing mixed coupled nonlinear Schrödinger equation of localised waves in a two-mode nonlinear fiber is investigated. Novel localised wave solutions are constructed by employing the Darboux-dressing transformation. The set of such solutions includes rogue waves on the soliton background. In addition, for the main characteristics of these solutions, we give the graphs to make readers more aware of the characteristics of these solutions. Hopefully our results can be used to help enrich rogue waves phenomena in nonlinear wave field.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/eajam.181120.310521

East Asian Journal on Applied Mathematics, Vol. 12 (2022), Iss. 1 : pp. 22–34

Published online:    2022-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    13

Keywords:    Mixed coupled nonlinear Schrödinger equation Darboux-dressing transformation breather wave rogue wave.

Author Details

Min-Jie Dong

Li-Xin Tian

Jing-Dong Wei

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