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Optical and Quantum Electronics
Erschienen in: Optical and Quantum Electronics 5/2024

01.05.2024

Analytical study of solitons for the (2+1)-dimensional Painlevé integrable Burgers equation by using a unified method

verfasst von: Haiqa Ehsan, Muhammad Abbas, Farah Aini Abdullah, Ahmed S. M. Alzaidi

Erschienen in: Optical and Quantum Electronics | Ausgabe 5/2024

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Abstract

In this work, the (2+1)-dimensional Painlevé integrable Burgers equation is investigated. By applying a certain unified method, some analytical solutions, involving rational functions, trigonometric functions and hyperbolic functions, are achieved. In order to predict the wave dynamics, several three-dimensional and two-dimensional graphs and contour profiles are constructed. Bright, dark, periodic, kink, anti-kink, singular, singular periodic, bell-shaped waves are thus obtained. The dynamics of these solutions can be illustrated graphically by choosing appropriate values for the parameters involved. Due to the presence of arbitrary constants in these derived solutions, they can be used to explain a variety of qualitative traits present in wave phenomena. The approach is efficient to algebraic computation and it can be used to categorize a wide range of wave forms, as shown by the demonstrated soliton solutions. Travelling wave solutions are converted into solitary wave solutions when certain values are set for the parameters. Using the Wolfram program Mathematica, we sketch the figures for various values of the associated parameters in order to closely examine the obtained solitons.
Vorheriger Artikel Quantum multi-signature protocol based on Bell state
Nächster Artikel Investigation of (2+1)-dimensional extended Calogero–Bogoyavlenskii–Schiff equation by generalized Kudryashov method and two variable -expansion method

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Metadaten
Titel
Analytical study of solitons for the (2+1)-dimensional Painlevé integrable Burgers equation by using a unified method
verfasst von
Haiqa Ehsan
Muhammad Abbas
Farah Aini Abdullah
Ahmed S. M. Alzaidi
Publikationsdatum
01.05.2024
Verlag
Springer US
Erschienen in
Optical and Quantum Electronics / Ausgabe 5/2024
Print ISSN: 0306-8919
Elektronische ISSN: 1572-817X
DOI
https://doi.org/10.1007/s11082-023-06212-7

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