**Jing Ran This email address is being protected from spambots. You need JavaScript enabled to view it.**

Mathematics teaching department, Sichuan University Jinjiang College, Meishan 620000, Sichuan, China

Received:
June 11, 2022

Accepted:
November 28, 2022

Publication Date:
February 9, 2023

* ***Copyright **The Author(s). This is an open access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are cited.

Download Citation: ||https://doi.org/10.6180/jase.202310_26(10).0007

**ABSTRACT**

In recent decades, many applications in the literature for partial differential equations have been proposed. In this paper, we aim to determine novel wave solutions for the Calogero-Bogoyavlenskii-Schiff equation that have not been found in previous works. This equation has many applications in explaining the wave profiles in soliton theory. To reach the main results of this article, we have employed an efficient technique, namely the generalized exponential rational function method. Using the method, abundant analytical solutions are proposed that have not been obtained for the model in the existing literature. For a better description of the dynamic properties of the obtained solutions, several three-dimensional diagrams have been plotted. The results confirm that the employed technique is very simple, effective, and powerful (compare to other existing methods) for solving higher-dimensional nonlinear problems arising in mathematics, and physics. The Mathematica software has been employed to perform numerical calculations and draw diagrams.

Keywords:
Analytical methods; Calogero-Bogoyavlenskii-Schiff equation; The generalized exponential rational function method; Wave solutions, Higher-order PDEs

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