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In nonlinear optics, fluid dynamics and plasma physics: symbolic computation on a (2+1)-dimensional extended Calogero–Bogoyavlenskii–Schiff system

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Abstract

A (2+1)-dimensional extended Calogero–Bogoyavlenskii–Schiff system in nonlinear optics, fluid dynamics and plasma physics is investigated via the symbolic computation in this paper. Soliton solutions, which are kink-shaped, are obtained via the Hirota method. Breather solutions are derived via the extended homoclinic test approach, and lump solutions are obtained from the breather solutions under a limiting procedure. We find that the shape and amplitude of the one soliton keep unchanged during the propagation, and the velocity of one soliton depends on all the coefficients in the system. We graphically demonstrate that the interaction between the two solitons is elastic, and analyse the solitons with the influence of the coefficients. We observe that the amplitudes and shapes of the breather and lump remain unchanged during the propagation, and graphically present the breathers and lumps with the influence of the coefficients.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: No new data were created or analysed in this study.]

Notes

  1. The terms “long” and“small” are meant in comparison with the depth of the channel.

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Acknowledgements

We express our sincere thanks to the Editors and Reviewers for their valuable comments. This work has been supported by the National Natural Science Foundation of China under Grant Nos. 11772017, 11272023 and 11471050, by the Fund of State Key Laboratory of Information Photonics and Optical Communications (Beijing University of Posts and Telecommunications), China (IPOC: 2017ZZ05), and by the Fundamental Research Funds for the Central Universities of China under Grant No. 2011BUPTYB02.

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

    Yuan Shen, Bo Tian & Tian-Yu Zhou

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  1. Yuan Shen
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  2. Bo Tian
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Correspondence to Bo Tian.

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Shen, Y., Tian, B. & Zhou, TY. In nonlinear optics, fluid dynamics and plasma physics: symbolic computation on a (2+1)-dimensional extended Calogero–Bogoyavlenskii–Schiff system. Eur. Phys. J. Plus 136, 572 (2021). https://doi.org/10.1140/epjp/s13360-021-01323-0

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