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Solitary wave dynamics of the extended (2+1)-dimensional Calogero–Bogoyavlenskii–Schiff equation

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Abstract

The extended \((2+1)\)-dimensional Calogero–Bogoyavlenskii–Schiff equation is investigated in this study. The extended \((2+1)\)-dimensional Calogero–Bogoyavlenskii–Schiff equation is an extension of Calogero–Bogoyavlenskii–Schiff equation that describes the movement of Riemann waves along y-axis while long waves moves along the x-axis. The dynamics of Riemann waves is one of the most significant applications including tsunami in rivers, internal waves in oceans and magento-sound waves in plasmas. Finding new precise solutions with the assistance of a relatively new extended \(\left( \frac{G'}{G^{2}}\right)\)-expansion approach and \(\exp (-\varphi (\zeta ))\)-expansion technique is the primary objective of this effort. The suggested techniques are important tools in the fields of mathematical physics. Successful extraction of hyperbolic, rational, and trigonometric function solutions are achieved by using the proposed analytical methods. The extended \((2+1)\)-dimensional Calogero–Bogoyavlenskii–Schiff equation is studied for the first time using extended \(\left( \frac{G'}{G^{2}}\right)\)-expansion approach and \(\exp (-\varphi (\zeta ))\)-expansion technique in this work and novel solutions are observed. 3D plots, contour plots and 2D plots are used to depict the dynamics of the extracted solutions.

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Acknowledgements

This work has been supported by a research grant from the Amol University of Special Modern Technologies, Amol, Iran.

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Authors and Affiliations

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

    Maasoomah Sadaf, Saima Arshed, Ghazala Akram & Muhammad Zubair Raza

  2. Faculty of Engineering Modern Technologies, Amol University of Special Modern Technologies, Amol, Iran

    Hadi Rezazadeh & Mohammad Ali Hosseinzadeh

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  1. Maasoomah Sadaf
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  2. Saima Arshed
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  3. Ghazala Akram
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  4. Muhammad Zubair Raza
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  5. Hadi Rezazadeh
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  6. Mohammad Ali Hosseinzadeh
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Contributions

M.S. gave the first idea of investigation. The concept and modeling was done by S.A. The methodology has been done by Gh.A. and the computations has been done by M.Z.R. Also H.R. after modifying the concept, wrote the paper. M.A.H. done the investigating, modeling, reviewing and editing.

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Correspondence to Mohammad Ali Hosseinzadeh.

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Sadaf, M., Arshed, S., Akram, G. et al. Solitary wave dynamics of the extended (2+1)-dimensional Calogero–Bogoyavlenskii–Schiff equation. Opt Quant Electron 56, 787 (2024). https://doi.org/10.1007/s11082-024-06415-6

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