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Exact traveling wave solutions of (2+1)-dimensional extended Calogero–Bogoyavlenskii–Schiff equation using extended trial equation method and modified auxiliary equation method

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Abstract

The (2+1)-dimensional extended Calogero–Bogoyavlenskii–Schiff equation appears in the mathematical description of physical phenomena in plasma physics, fluid dynamics and nonlinear optics. In this article, extended trial and modified auxiliary equation methods are utilized to observe the dynamical structures exhibiting the solitary wave behavior of the considered model. The traveling wave hypothesis is employed to extract explicit closed-form solution expressions. The presented methods show reliability and robust computational capabilities to investigate solitary waves. In order to investigate the physical behavior of these solutions, 3D, 2D and density plots are drawn for different values of parameters. The graphical observations depict kink soliton, dark–bright singular soliton and periodic wave solutions. The comparison of the outcomes of the proposed results with those obtained using prior techniques is made to confirm the usefulness of the proposed techniques. The presented study will be helpful to explain the wave propagation in many problems of plasma physics and fluid dynamics. Moreover, the reported solutions may help to understand optical wave transmission and aid in the development of optical devices. The results given in this study will contribute in the understanding of the behavior of waves in the higher-dimensional governing models.

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Acknowledgements

The researchers would like to acknowledge Deanship of Scientific Research, Taif University for funding this work.

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Authors and Affiliations

  1. Department of Mathematics, University of the Punjab, Lahore, 54590, Pakistan

    Ghazala Akram, Maasoomah Sadaf, Saima Arshed & Rimsha Latif

  2. Department of Mathematics, Firat University, 23119, Elazig, Turkey

    Mustafa Inc

  3. Department of Computer Engineering, Biruni University, 34010 Istanbul, Turkey

    Mustafa Inc

  4. Department of Medical Research, China Medical University, Taichung, 40402, Taiwan

    Mustafa Inc

  5. Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, 21944, Taif, Saudi Arabia

    Ahmed S. M. Alzaidi

Authors
  1. Ghazala Akram
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  2. Maasoomah Sadaf
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  3. Saima Arshed
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  4. Rimsha Latif
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  5. Mustafa Inc
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  6. Ahmed S. M. Alzaidi
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Contributions

GA: Identification of the research problem, analysis of the outcomes, Funding acquisition, review and editing. MS, SA: Methodology, conceptualization, validation.

Rimsha Latif: Supervision, project administration. MI, ASMA: Conceptualization, review and editing, software.

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Correspondence to Mustafa Inc.

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Akram, G., Sadaf, M., Arshed, S. et al. Exact traveling wave solutions of (2+1)-dimensional extended Calogero–Bogoyavlenskii–Schiff equation using extended trial equation method and modified auxiliary equation method. Opt Quant Electron 56, 424 (2024). https://doi.org/10.1007/s11082-023-05900-8

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