Orbit-based deformation procedure for two-field models

Abstract

We present a method for generating new deformed solutions starting from systems of two real scalar fields for which defect solutions and orbits are known. The procedure generalizes the approach introduced in a previous work [Phys. Rev. D 66, 101701(R) (2002)], in which it is shown how to construct new models altogether with its defect solutions, in terms of the original model and solutions. As an illustration, we work out an explicit example in detail.

15 pages, 14 figures; version to appear in PRD

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Cited by in corpus (17)

• Scalar fields and defect structures: perturbative procedure for generalized models
• Classical behavior of deformed sine-Gordon models
• Deformations of Kink Tails
• Constructing networks of defects with scalar fields
• Construction of topological defect networks with complex scalar fields
• Deformed self-dual magnetic monopoles
• Construction of new scalar field models from the standard ${\varphi }^4$ theory
• Orbit based procedure for doublets of scalar fields and the emergence of triple kinks and other defects
• Kinks in massive non-linear ${\mathbb{S}}^1\times {\mathbb{S}}^1$-Sigma models
• Interacting kinks and meson mixing
• Superposed Hyperbolic Kink and Pulse Solutions of Coupled ${\varphi }^4$, NLS and MKdV Equations
• Deformation method for generalized Abelian Higgs-Chern-Simons models
• Extended multi-scalar field theories in (1+1) dimensions
• The orbit method solution for the deformed three coupled scalar fields
• Getting inflationary models using the deformation method
• BPS and semi-BPS kink families in two-component scalar field theories with fourth-degree polynomial potentials
• Topological and non-topological kink families in non-linear $({\mathbb{S}}^1\times {\mathbb{S}}^1)$-Sigma models