Computational Wave Propagation Behaviors Modeling in the Nonlinear Zakharov-Kuznetsov-Benjamin-Bona -Mahony with Analytical and Asymptotical Methods
DOI:
https://doi.org/10.29020/nybg.ejpam.v19i2.7789Keywords:
soliton waves, nonlinear wave dynamics, exact solutionAbstract
The Zakharov-Kuznetsov-Benjamin-Bona-Mahony (ZK-BBM) equation is a significant tool of researching the multidimensional nonlinear waves. Here, two methodologies are used to find precise traveling-wave solutions which include the Generalized Kudryashov Method (GKM) and the Generalized Projective Riccati Equation Method (GPREM). The governing equation can be simplified to an ordinary differential equation through a proper transformation of the wave, and thus a few families of solutions can be built, such as soliton, periodic, rational and hybrid waves. The behavior and physical interpretation of these solutions is explained through the use of graphical illustrations. The findings expand the scope of solutions in analysis and prove the efficiency of the used methods in analysing nonlinear waves models.
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Copyright (c) 2026 Naveed Iqbal, Yeliz Karaca, Shah Hussain, Wael W. Mohammed, Taher S. Hassan, Noor Alam
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