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).

我们有效地将Riccati方程有理展开技术中的ansatz扩展到了一个新的广义形式，并用于为夫妇非线性Drinfeld-Sokolov-Wilson（DSW）系统获得一些新的精确波动解。该系统出现在水波，量子力学，流体力学，生物学，化学等领域。一些获得的解决方案，以有理的孤立波解决方案和周期波解决方案的形式出现，是全新的，对研究人员来说至关重要。某些选定的解决方案通过分配给常数参数的精确值以图形方式进行验证。具有当前ansatz的这项技术可以在更广泛的适用范围内实施，以处理各种其他形式的非线性演化系统（NLES）。