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首页> 外文期刊>Journal of King Saud University >Explicit and traveling wave solutions of the non-linear couple Drinfeld-Sokolov-Wilson dynamical system arising in shallow water waves
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Explicit and traveling wave solutions of the non-linear couple Drinfeld-Sokolov-Wilson dynamical system arising in shallow water waves

机译:非线性耦合DRINFELD-SOKOLOV-WILSON动态系统的明确和旅行波解决方案

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We efficaciously extended the ansatz in the Riccati equation rational expansion technique to a new broad form and is used to attain some new exact wave solutions for the couple non-linear Drinfeld-Sokolov-Wilson (DSW) system. This system arises in water waves, quantum mechanics, fluid mechanics, biology, chemistry etc. Several of the attained solutions which is in the shape of rational solitary wave solutions and periodic wave solutions are entirely new and could be vital for researchers to appreciate. Certain selected solutions are graphically verified by precise values allocated to constant parameters. This technique with the current ansatz can be implemented with a broader range of applicability to handle various other forms of non-linear evolution systems (NLES).
机译:我们在Riccati公式合理扩展技术中致力于将ANSATZ扩展到一种新的广泛形式,并用于为夫妻非线性DRINFERD-SOKOLOV-WILSON(DSW)系统达到一些新的精确波解决方案。该系统出现在水波,量子力学,流体力学,生物学,化学等中的几种达到的解决方案,其形状为理性孤立波解决方案和周期性波解决方案完全是新的,对研究人员来说可能是至关重要的。通过分配给恒定参数的精确值图形验证某些选定的解决方案。该技术具有当前ANSATZ的技术可以用更广泛的适用性来实现,以处理各种其他形式的非线性进化系统(NLE)。

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