Towards Soliton Computer Based on Solitary Wave Solution of Maxwell-Dirac Equation: A Plausible Alternative to Manakov System

Abstract

In recent years, there are a number of proposals to consider collision-based solitoncomputer based on certain chemical reactions, namely Belousov-Zhabotinsky reaction,which leads to soliton solutions of coupled Nonlinear Schroedinger equations. They arecalled Manakov System. But it seems to us that such a soliton computer model can alsobe based on solitary wave solution of Maxwell-Dirac equation, which reduces toChoquard equation. And soliton solution of Choquard equation has been investigatedby many researchers, therefore it seems more profound from physics perspective.However, we consider both schemes of soliton computer are equally possible. Moreresearches are needed to verify our proposition.