A novel effective approach for systems of coupled Schrödinger equation

Abstract

Schrödinger equations arise in modelling various physical and engineering problems. In this paper, we introduce a new homotopy perturbation method (NHPM) to improve the accuracy and computational efficiency of the homotopy perturbation method (HPM). We show that this technique enables one to determine the exact solution of the system of Schrödinger equations. Several illustrative examples are given to demonstrate the effectiveness of this method.

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