Higher-order rogue waves solutions of the modified Gerdjikov-Ivanov equation with dispersion via generalized Darboux transformation

DOI10.1016/j.aml.2022.108466zbMath1504.35010OpenAlexW4303859237MaRDI QIDQ2106104

Xiankui Meng, Hujiang Yang, Xue Guan, Wen-Jun Liu

Publication date: 8 December 2022

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2022.108466

zbMATH Keywords

nonlinear opticsgeneralized Darboux transformationdynamic propertieslocalized wavesGerdjikov-Ivanov equationextend Lax pairhigher-order dispersion equations

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Transform methods (e.g., integral transforms) applied to PDEs (35A22)

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Novel soliton solution of \((3+1)\)-dimensional perturbed Burgers equation

Cites Work

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• Some localized wave solutions for the coupled Gerdjikov-Ivanov equation
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• Deep learning neural networks for the third-order nonlinear Schrödinger equation: bright solitons, breathers, and rogue waves
• Soliton, breather and rogue wave solutions of the coupled Gerdjikov-Ivanov equation via Darboux transformation

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