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