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Volume 12, Issue 1
Novel Rogue Waves for a Mixed Coupled Nonlinear Schrödinger Equation on Darboux-Dressing Transformation

Min-Jie Dong, Li-Xin Tian & Jing-Dong Wei

DOI: 10.4208/eajam.181120.310521

East Asian J. Appl. Math., 12 (2022), pp. 22-34.

Published online: 2021-10

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  • 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.

  • Keywords

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

  • AMS Subject Headings

65M10, 78A48

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{EAJAM-12-22, author = {Dong , Min-JieTian , Li-Xin and Wei , Jing-Dong}, title = {Novel Rogue Waves for a Mixed Coupled Nonlinear Schrödinger Equation on Darboux-Dressing Transformation}, journal = {East Asian Journal on Applied Mathematics}, year = {2021}, volume = {12}, number = {1}, pages = {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.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.181120.310521}, url = {http://global-sci.org/intro/article_detail/eajam/19918.html} }
TY - JOUR T1 - Novel Rogue Waves for a Mixed Coupled Nonlinear Schrödinger Equation on Darboux-Dressing Transformation AU - Dong , Min-Jie AU - Tian , Li-Xin AU - Wei , Jing-Dong JO - East Asian Journal on Applied Mathematics VL - 1 SP - 22 EP - 34 PY - 2021 DA - 2021/10 SN - 12 DO - http://doi.org/10.4208/eajam.181120.310521 UR - https://global-sci.org/intro/article_detail/eajam/19918.html KW - Mixed coupled nonlinear Schrödinger equation, Darboux-dressing transformation, breather wave, rogue wave. AB -

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.

Min-Jie Dong, Li-Xin Tian & Jing-Dong Wei. (2021). Novel Rogue Waves for a Mixed Coupled Nonlinear Schrödinger Equation on Darboux-Dressing Transformation. East Asian Journal on Applied Mathematics. 12 (1). 22-34. doi:10.4208/eajam.181120.310521
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