On compacton traveling wave solutions of Zakharov-Kuznetsov-Benjamin-Bona-Mahony (ZK-BBM) equation

被引：0
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作者：
Nadeem Salamat
Ameer Hamza Arif
Muhammad Mustahsan
Malik M. Saad Missen
V. B. Surya Prasath
机构：
[1] Khawaja Fareed University of Engineering and Information Technology,Department of Mathematics
[2] The Islamia University of Bahawalpur,Department of Mathematics
[3] The Islamia University of Bahawalpur,Department of Computer Science and IT
[4] University of Cincinnati,Department of Electrical Engineering and Computer Science
来源：
Computational and Applied Mathematics | 2022年 / 41卷
关键词：
Zakharov-Kuznetsov-Benjamin-Bona-Mahony equation; Differential transformation method; Graphical profile; Compacton-like wave solution; 34A07; 35R13;
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摘要：
Nonlinear evolution equations are used to model various complex physical phenomena, and finding exact solutions of these equations is important for their applications. One of the important problem is that of finding traveling wave solutions in well-known nonlinear evolution systems from mathematical physics. In this paper, the differential transformation method (DTM) along with the wave-like transformation is used to develop the compacton traveling wave solution of nonlinear Zakharov-Kuznetsov-Benjamin-Bona-Mahony (ZK-BBM) equation. The multiple choices for the parameters in the partial differential equation are studied and results shows that the method is efficient to develop new compacton wave solutions of partial differential equation. We plot the exact analytical and numerical solutions for different values of parameters. These results validate the experiment results.
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