Abstract
In the current study, we investigate the coupled Boussinesq-Burgers equations through sine-Gordon expansion method. BBEs arises in the research of fluid flow and describes the spreading of shallow water waves. A traveling wave transformation has been applied to turn the governing equation into a nonlinear ordinary differential equation. As a result, we produce some novel analytical solutions, such as topological, non-topological, and kink-type soliton solutions. Furthermore, 2D, 3D and contour surfaces are also plotted for all obtaining solutions.
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Ali, K.K., Yilmazer, R., Bulut, H. (2020). Analytical Solutions to the Coupled Boussinesq–Burgers Equations via Sine-Gordon Expansion Method. In: Dutta, H., Hammouch, Z., Bulut, H., Baskonus, H. (eds) 4th International Conference on Computational Mathematics and Engineering Sciences (CMES-2019). CMES 2019. Advances in Intelligent Systems and Computing, vol 1111. Springer, Cham. https://doi.org/10.1007/978-3-030-39112-6_17
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DOI: https://doi.org/10.1007/978-3-030-39112-6_17
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