Solitons in a class of systems of two coupled real scalar fields

D. Bazeia, R. F. Ribeiro, and M. M. Santos
Phys. Rev. E 54, 2943 – Published 1 September 1996
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Abstract

This paper deals with systems of two coupled real scalar fields in bidimensional spacetime. We show that when the potential that specifies the system presents a particular form, we are led to first-order equations that solve the second-order equations of motion for static fields. The first-order equations can be seen as a dynamical system, and the static classical solutions present minimum energy, and are classically stable. We consider explicit examples to illustrate the general procedure. In particular, we introduce a specific system that can be used to model ferroelectric crystals. © 1996 The American Physical Society.

  • Received 5 May 1996

DOI:https://doi.org/10.1103/PhysRevE.54.2943

©1996 American Physical Society

Authors & Affiliations

D. Bazeia and R. F. Ribeiro

  • Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, 58051-970 João Pessoa, Paraíba, Brazil

M. M. Santos

  • Departamento de Matemática, Universidade Federal da Paraíba, 58051-970 João Pessoa, Paraíba, Brazil

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Vol. 54, Iss. 3 — September 1996

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