New results for deformed defects

Abstract

We extend a deformation prescription recently introduced and present some new soluble nonlinear problems for kinks and lumps. In particular, we show how to generate models which present the basic ingredients needed to give rise to dimension bubbles. Also, we show how to deform models which possess lumplike solutions, to get to new models that support kinklike solutions.

RevTex4, 5 pages, 3 eps figures

References in corpus (7)

• Deformed Defects
• Field theory models for tachyon and gauge field string dynamics
• Vacuum defects without a vacuum
• Topological solitons in a vacuumless system
• Gravitational field of vacuumless defects
• Domain Bubbles of Extra Dimensions
• Gauged Dimension Bubbles

Cited by in corpus (49)

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• Scattering of the double sine-Gordon kinks
• Deformed defects with applications to braneworlds
• Defect Structures in Lorentz and CPT Violating Scenarios
• Deformed defects for scalar fields with polynomial interactions
• Some aspects of self-duality and generalised BPS theories
• Kink-Antikink Collisions and Multi-Bounce Resonance Windows in Higher-Order Field Theories
• Fermion localization on a split brane
• Classical behavior of deformed sine-Gordon models
• Scalar fields and defect structures: perturbative procedure for generalized models
• Explicit kinks in higher-order field theories
• Study of models of the sine-Gordon type in flat and curved spacetime
• Collisions of kinks in deformed ${\phi }^4$ and ${\phi }^6$ models
• New family of sine-Gordon models
• Orbit-based deformation procedure for two-field models
• Kink scattering in hyperbolic models
• Lump-like Structures in Scalar-field Models
• Deformations of Kink Tails
• New Results on Compact Structures
• Constructing networks of defects with scalar fields
• Construction of topological defect networks with complex scalar fields
• Analytical self-dual solutions in a nonstandard Yang-Mills-Higgs scenario
• Defect structures in sine-Gordon-like models
• Kinks and branes in models with hyperbolic interactions
• Deformed self-dual magnetic monopoles
• Analytical BPS Maxwell-Higgs vortices
• Multikink solutions and deformed defects
• Construction of new scalar field models from the standard ${\varphi }^4$ theory
• Deforming tachyon kinks and tachyon potentials
• Kinks in massive non-linear ${\mathbb{S}}^1\times {\mathbb{S}}^1$-Sigma models
• Super long-range kinks
• Novel results for kinklike structures and their connections to quantum mechanics
• Small deformations of kinks and walls
• Interacting kinks and meson mixing
• Connections between kinks with different asymptotics
• Deformation method for generalized Abelian Higgs-Chern-Simons models
• Novel Deformation Function Creating or Destroying any Number of Even Kink Solutions
• A simple and direct method for generating travelling wave solutions for nonlinear equations
• Extended multi-scalar field theories in (1+1) dimensions
• Scalar fields, localized structures and the Starobinsky model
• Asymmetric kink solutions of hyperbolically deformed model
• Vacuum Polarization Energy of the Kinks in the Sinh-Deformed Models
• Scattering of kinks in scalar-field models with higher-order self-interactions
• Getting inflationary models using the deformation method
• BPS and semi-BPS kink families in two-component scalar field theories with fourth-degree polynomial potentials
• Compact structures in impurity-doped vacuumless systems
• Topological and non-topological kink families in non-linear $({\mathbb{S}}^1\times {\mathbb{S}}^1)$-Sigma models
• Kinks scattering in deformed ${\phi }^6$ model