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Dynamics of Diverse Optical Solitary Wave Solutions to the Biswas–Arshed Equation in Nonlinear Optics

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Abstract

The solitary wave solutions gained well-reputed significance because of their peculiar characteristics. Solitary waves are spatially localized waves and are found in a variety of natural systems from mathematical physics and engineering phenomena. This manuscript deals the investigation of optical pulses to the Biswas–Arshed equation with third order dispersion and self-steepening coefficients in nonlinear optics. Various optical pulses are recovered in single and combo shapes like bright, dark, singular, bright-dark, and dark-singular solitons by the virtue of extended sinh-Gordon equation expansion method and (\(\frac{G^{\prime }}{G^2}\))-expansion function method. Besides, the singular periodic wave solutions are also derived. The constraints conditions to ensure the existence criteria of reported optical solutions are also listed. In addition, by selecting different parametric values, the physical representation of some achieved solutions is plotted in 3D graphs with the help of Mathematica. The reported results show that the proposed methods are effective, concise, straightforward, powerful, and they can be used to tackle some more complex nonlinear systems.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, University of Gujrat, Gujrat, 50700, Pakistan

    Muhammad Bilal, Shafqat Ur-Rehman & Jamshad Ahmad

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  1. Muhammad Bilal
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  2. Shafqat Ur-Rehman
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  3. Jamshad Ahmad
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All authors carried out the proofs and conceived of the study. All authors read and approved the final manuscript.

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Correspondence to Muhammad Bilal.

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Bilal, M., Ur-Rehman, S. & Ahmad, J. Dynamics of Diverse Optical Solitary Wave Solutions to the Biswas–Arshed Equation in Nonlinear Optics. Int. J. Appl. Comput. Math 8, 137 (2022). https://doi.org/10.1007/s40819-022-01309-1

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