New family of sine-Gordon models

Abstract

This work deals with a new family of models, which includes the sine-Gordon model and the double-sine-Gordon, triple-sine-Gordon and so on. The investigation is based on a deformation procedure, which is used to deform a well-known model, to get to the family of sine-Gordon models. Due to properties of the procedure, we get to the models and find the corresponding solutions explicitly, together with all the important features they engender.

5 pages, 3 figures; version to appear in EPL

References in corpus (14)

• Braneworld Models of Scalar Fields with Generalized Dynamics
• First-order formalism for bent brane
• Fermions on Thick Branes in the Background of Sine-Gordon Kinks
• Wobbles and other kink-breather solutions of the Sine Gordon model
• Deformed defects for scalar fields with polynomial interactions
• Classical behavior of deformed sine-Gordon models
• Neutral Bound States in Kink-like Theories
• Static Solitons of the Sine-Gordon Equation and Equilibrium Vortex Structure in Josephson Junctions
• Mapping of Coulomb gases and sine-Gordon models to statistics of random surfaces
• Sine-Gordon description of Beresinskii-Kosterlitz-Thouless physics at finite magnetic field
• Non-topological gravitating defects in five-dimensional anti-de Sitter space
• Vacuumless kinks systems from vacuum ones, an example
• Applicability of layered sine-Gordon models to layered superconductors: II. The case of magnetic coupling
• Scattering of Topological Solitons on Barriers and Holes of Deformed Sine-Gordon Models

Cited by in corpus (6)

• Kinklike structures in models of the Dirac-Born-Infeld type
• New scalar field models and their defect solutions
• Multikink solutions and deformed defects
• Configurational entropy of generalized sine-Gordon-type models
• Scalar field models driven by Dirac-Born-Infeld dynamics and their relatives
• Kinklike structures in an arcsin real scalar dynamics