Solving the coupled Schrödinger -Korteweg- de-Vries system by modified variational iteration method with genetic algorithm

A system of nonlinear partial differential equations was solved using a modified variational iteration method (MVIM) combined with genetic algorithm. The introduced an auxiliary parameter (p) in the correction functional to ensure convergence and improve outcomes. Before applying modification, traditional (VIM) used firstly. applied numerically solve Schrödinger-KdV equations. By comparing two methods addition some previous approaches, it turns out new algorithm converges quickly, generates accurate solutions shows improved accuracy. Additionally, can be easily various linear