Bashar Md Habibul, Mawa H Z, Biswas Anita, Rahman M M, Roshid Md Mamunur, Islam Jahedul
Department of Mathematics, European University of Bangladesh, Dhaka 1216, Bangladesh.
Department of Mathematics, Bangladesh University of Engineering and Technology, Dhaka 1000, Bangladesh.
Heliyon. 2023 Apr 22;9(5):e15662. doi: 10.1016/j.heliyon.2023.e15662. eCollection 2023 May.
The modified extended tanh technique is used to investigate the conformable time fractional Drinfel'd-Sokolov-Wilson (DSW) equation and integrate some precise and explicit solutions in this survey. The DSW equation was invented in fluid dynamics. The modified extended tanh technique executes to integrate the nonlinear DSW equation for achieve diverse solitonic and traveling wave envelops. Because of this, trigonometric, hyperbolic and rational solutions have been found with a few acceptable parameters. The dynamical behaviors of the obtained solutions in the pattern of the kink, bell, multi-wave, kinky lump, periodic lump, interaction lump, and kink wave types have been illustrated with 3D and density plots for arbitrary chose of the permitted parameters. By characterizing the particular benefits of the exemplified boundaries by the portrayal of sketches and by deciphering the actual events, we have laid out acceptable soliton plans and managed the actual significance of the acquired courses of action. New precise voyaging wave arrangements are unambiguously gained with the aid of symbolic computation using the procedures that have been announced. Therefore, the obtained outcomes expose that the projected schemes are very operative, easier and efficient on realizing natures of waves and also introducing new wave strategies to a diversity of NLEEs that occur within the engineering sector.
采用改进的扩展双曲正切技术研究了一致时间分数阶Drinfel'd-Sokolov-Wilson(DSW)方程,并在此研究中积分得到了一些精确的显式解。DSW方程是在流体动力学中提出的。改进的扩展双曲正切技术用于积分非线性DSW方程,以获得各种孤子和行波包络。因此,通过一些可接受的参数得到了三角函数、双曲函数和有理函数解。通过对允许参数的任意选择,用三维图和密度图展示了所得到的扭结型、钟型、多波型、扭结孤子型、周期孤子型、相互作用孤子型和扭结波型解的动力学行为。通过绘制草图描述示例边界的特殊优点,并解读实际情况,我们制定了可接受的孤子方案,并处理了所获得方案的实际意义。借助已公布的程序,通过符号计算明确地获得了新的精确行波解。因此,所得到的结果表明,所提出的方案在理解波的性质以及为工程领域中出现的各种非线性演化方程引入新的波策略方面非常有效、简单且高效。