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Optical and Quantum Electronics

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01.12.2023

Some exact solitons to the (2 + 1)-dimensional Broer–Kaup–Kupershmidt system with two different methods

verfasst von: Sandeep Malik, Sachin Kumar, Arzu Akbulut, Hadi Rezazadeh

Erschienen in: Optical and Quantum Electronics | Ausgabe 14/2023

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Abstract

The exact solutions of the (2 + 1) dimensional Broer–Kaup–Kupershmidt (BKK) system which has been recommended to model the nonlinear and dispersive long gravity waves traveling along with the two horizontal directions in the shallow water of uniform depth were obtained. Firstly, the given system was reduced to an ordinary differential equation (ODE) with the help of the wave transformations. Then, the reduced ODE was solved with the help of two methods which are called the modified \((G^{\prime }/G)\)-expansion method and new extended generalized Kudryashov method. We checked the results with the Maple software and plotted 3D, contour and 2D plots of some obtained solutions. As a result, we obtained exact solutions that are different from each other and have not been obtained before. Results can enhance the nonlinear dynamical behavior of a given system and demonstrate the effectiveness of the employed methodology. Results will be beneficial to a large number of engineering model specialists and useful for understanding the wave motions.

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Titel: Some exact solitons to the (2 + 1)-dimensional Broer–Kaup–Kupershmidt system with two different methods
verfasst von: Sandeep Malik
Sachin Kumar
Arzu Akbulut
Hadi Rezazadeh
Publikationsdatum: 01.12.2023
Verlag: Springer US
Erschienen in: Optical and Quantum Electronics / Ausgabe 14/2023
Print ISSN: 0306-8919
Elektronische ISSN: 1572-817X
DOI: https://doi.org/10.1007/s11082-023-05500-6

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