The quest for exact solutions to nonlinear partial differential equations has become a remarkable research subject in recent years. In this study, we employ the Kudryashov method and sub-equation method to retrieve the bright and dark soliton solutions of the generalized nonlinear Schrödinger-Korteweg-de Vries equations. Other soliton-type solutions like the periodic, singular, and rational solutions are achieved as well. These coupled equations occur in phenomena of interactions between short and long dispersive waves which are significant in various fields of applied sciences and engineering. The solutions obtained in this study have been verified with the help of the Mathematica package software. Furthermore, we present graphical representations of the solutions of bright and dark solitons for a useful understanding of the behavior and physical structures of the coupled equations considered.

近年来，寻求非线性偏微分方程的精确解已成为一个引人注目的研究课题。在本研究中，我们采用 Kudryashov 方法和子方程方法来检索广义非线性 Schrödinger-Korteweg-de Vries 方程的明暗孤子解。也可以实现其他孤子类型的解决方案，例如周期、奇异和有理解决方案。这些耦合方程出现在短波和长波之间的相互作用现象中，这在应用科学和工程的各个领域都很重要。本研究中获得的解决方案已在 Mathematica 软件包的帮助下得到验证。此外，