Akademik Veri Yönetim Sistemi
MAS International Congress on Mathematics, Engineering, Natural & Medical Sciences, Ankara, Türkiye, 14 - 15 Ağustos 2023, ss.112-119
This study highlights the crucial role of mathematics and physics in ocean engineering. In this study, the traveling wave solutions of the general Drinfiel’d-Sokolov-Wilson (DSW)-system, which is introduced as a model of water waves, are obtained and wave dynamics are investigated. Jacobi elliptic functions are valuable mathematical tools that can be applied to various aspects of ocean engineering. The methods used are effective methods to produce periodic solutions. It has been seen that the periodic solutions obtained by using Jacobi elliptic function expansions containing different Jacobi elliptic functions may be different, and some new periodic solutions can be obtained. In order to see the behaviour of the solutions obtained for the appropriate different values of the parameters, 3-dimensional simulations were made using MapleTM. Their use helps engineers better understand and predict the behaviour of waves, tidal forces, and other phenomena, ultimately leading to safer and more efficient structures and systems. The stability property of the obtained solutions was tested to demonstrate the ability of the obtained solutions.