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

This study proposes exact solitary and periodic wave polynomial solutions to the nonlinear Klein-Gordon-Schrödinger equation in nonlinearly dispersive Schrödinger 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.