An attempt to give exact solitary and periodic wave polynomial solutions to the nonlinear Klein-Gordon-Schrodinger equations

Abstract

This study proposes exact solitary and periodic wave polynomial solutions to the nonlinear Klein-Gordon-Schrodinger equation in nonlinearly dispersive Schrodinger equation in a particular geometry. These solutions include integer coefficient polynomial function type and are found as such for the first time for the particular case of an electron which is confined inside a spherical finite quantum dot. The results were compared to recently published records so far. (C) 2015 Elsevier Ltd. All rights reserved.