SOLITON STABILITY IN SYSTEMS OF 2 REAL SCALAR FIELDS

In this paper we consider a class of systems of two coupled real scala r fields in bidimensional spacetime, the main motivation being the stu dy of the classical or linear stability of soliton solutions. First, w e present the class of systems and comment on the topological profile of soliton solutions one can find from the first-order equations that solve the equations of motion. We then follow the standard approach to classical stability to introduce the main steps one needs to obtain t he spectra of Schrodinger operators that appear in this class of syste ms. We consider a specific system, from which we illustrate the genera l calculations and present some analytical results. We also consider a nother, more general, system and present an investigation that introdu ces new results and offers a comparison with former investigations.