1997/05/28 by D. Bazeia, D Bazeia, J R S Nascimento +5 · 3 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Class (philosophy) #Geometry and complex manifolds #Nonlinear Waves and Solitons #Nonlinear system #Real line #Scalar (mathematics) #Scalar field #Soliton #Stability (learning theory) #hep-th
paper · pdf · doi:10.1088/0305-4470/30/23/015
published as J.Phys.A30:8157-8166,1997 · 16 pages, Revtex, 3 f igures
arxiv created 1997/05/28 · openalex publication_date 1997/12/07 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In this paper we consider a class of systems of two coupled real scalar fields in bidimensional spacetime, the main motivation being the study of the classical or linear stability of soliton solutions. First, we 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 the spectra of Schrödinger operators that appear in this class of systems. We consider a specific system, from which we illustrate the general calculations and present some analytical results. We also consider another, more general, system and present an investigation that introduces new results and offers a comparison with former investigations.