Effective computational schemes for a mathematical model of relativistic electrons arising in the laser thermonuclear fusion

Abstract

This research paper investigates the computational wave solutions of the nonlinear Klein–Fock–Gordon (KFG) equation by applying two effective recent computational schemes. The nonlinear KFG model is a quantized version of the relativistic energy–momentum relation related to the well-known Schrödinger equation. The modified Khater (MK) and modified Kudryashov (MKud) computational schemes are employed to construct novel explicit wave solutions for figuring out novel physical properties of the investigated model. Some solutions are illustrated in some distinct figures. This paper's novelty and originality are discussed by showing the similarity and differences between our paper and other published papers.