A variety of physical structures to the generalized equal-width equation derived from Wazwaz-Benjamin-Bona-Mahony model

In this paper we are interested in investigating the physical shape-changed propagations to the generalized Equal-Width equation through studying the explicit solutions of Wazwaz-Benjamin-Bona-Mahony model. Both models are of considerable importance in many disciplines of research, including ocean engineering and science, and describe the propagation of equally-width waves. We highlight the effect of the coefficients of both nonlinearity and dispersion terms on changing the physical shape of both models by implementing the new exponential-expansion scheme. 2D and 3D graphical plots are provided to validate the findings of the paper. (c) 2021 Shanghai Jiaotong University. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)

Automated summary

This paper investigates the physical shape-changed propagations in the generalized Equal-Width equation through studying the explicit solutions of the Wazwaz-Benjamin-Bona-Mahony model. Both models are important in various research disciplines, including ocean engineering and science, and depict the propagation of equally-width waves. The study highlights the impact of nonlinearity and dispersion coefficients on altering the physical shape of the models using a new exponential-expansion scheme. 2D and 3D graphical plots are provided to validate the findings.