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Modulation instability, localized wave solutions of the modified Gerdjikov–Ivanov equation with anomalous dispersion

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Abstract

Solving new integrable systems and exploring their physical applications have been a hot topic. This paper gives the modulation instability in the continuous wave background of the new modified Gerdjikov–Ivanov equation with anomalous dispersion. Based on the extend Lax pair, the localized wave solutions of the new model are obtained via generalized Darboux transformation method, various types solutions including breather, rogue waves, and interaction solutions are presented and their dynamic properties are analyzed. The results obtained have certain application value for nonlinear optics and long-distance transmission.

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Acknowledgements

This work of Wenjun Liu is supported by the National Natural Science Foundation of China (Grant 12075034, 11975001, 11875008); the Beijing Natural Science Foundation (Nos. JQ21019). This work of Xue Guan is supported by BUPT Excellent Ph.D. Students Foundation (Grant No. CX2020219). This work of Haotian Wang is supported by BUPT Excellent Ph.D. Students Foundation (Grant No. CX2022238).

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Authors and Affiliations

  1. State Key Laboratory of Information Photonics and Optical Communications, and School of Science, Beijing University of Posts and Telecommunications, Beijing, 100876, China

    Xue Guan, Haotian Wang & Wenjun Liu

  2. School of Electronic Engineering, Beijing University of Posts and Telecommunications, Beijing, 100876, China

    Xiaoyan Liu

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  1. Xue Guan
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  2. Haotian Wang
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Correspondence to Wenjun Liu.

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Guan, X., Wang, H., Liu, W. et al. Modulation instability, localized wave solutions of the modified Gerdjikov–Ivanov equation with anomalous dispersion. Nonlinear Dyn 111, 7619–7633 (2023). https://doi.org/10.1007/s11071-022-08210-y

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  • DOI: https://doi.org/10.1007/s11071-022-08210-y

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