Some New Exact Wave Solutions For The ZK-BBM Equation
The generalized algebra technique is used to search for exact wave solutions of the ZK-BBM equation in this article. This equation is a notable model for describing the acoustic waves in harmonic crystals, shallow water waves etc. By applying the wave transformation, we obtained an ordinary differen...
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| Format: | Article |
| Language: | English |
| Published: |
Tamkang University Press
2022-11-01
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| Series: | Journal of Applied Science and Engineering |
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| Online Access: | http://jase.tku.edu.tw/articles/jase-202307-26-7-0009 |
| Summary: | The generalized algebra technique is used to search for exact wave solutions of the ZK-BBM equation in this article. This equation is a notable model for describing the acoustic waves in harmonic crystals, shallow water waves etc. By applying the wave transformation, we obtained an ordinary differential equation. We have successfully obtained many exact wave solutions with arbitrary parameters by the method that exact wave solutions are expressed in terms of generalized hyperbolic function solution, generalized trigonometric function solution, exponential function solution, and rational function solution. The results show that the generalized algebra technique is a very concise and powerful mathematical tool for nonlinear evolution equations in
engineering and science. |
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| ISSN: | 2708-9967 2708-9975 |