Geometrically constrained multifield models with BNRT solutions

Abstract

In this paper, we investigate multifield models in which the two-field BNRT model is coupled to a third field through mediator functions in the Lagrangian density. To conduct the investigation, we obtain the equations of motion and develop a first-order formalism based on energy minimization. Two possibilities are considered: i) the third field acting in the mediator functions to modify the BNRT solutions; ii) the BNRT fields feeding the mediator function to produce effects in the kink solution of the third field. In the case i), the results show that the solutions may be related to the standard ones with the coordinate redefined in terms of the mediator functions if they are equal. This allows to induce effects similar to geometric constrictions in the core, or to compactify the tail of the BNRT solutions. If the mediator functions differ one from another, we show that the effects are distinct, with the compactification of just one of the two-field solutions. In the case ii), the orbit parameter of the model plays an important role, modifying the mediator function that induces changes in the profile of the kink associated to the third field.

v2; 13 pages, 7 figures; text and references added; accepted in Chaos, Solitons and Fractals

References in corpus (12)

• Magnetic domain walls in constrained geometries
• Degenerate and critical Bloch branes
• General solutions for some classes of interacting two field kinks
• Lorentz-violating effects on topological defects generated by two real scalar fields
• Kink dynamics in a system of two coupled scalar fields in two space-time dimensions
• Radially symmetric scalar solitons
• Two field BPS solutions for generalized Lorentz breaking models
• Collisions of kinks in deformed ${\phi }^4$ and ${\phi }^6$ models
• Geometrically constrained kinklike configurations engendering long range, double exponential, half-compact and compact behavior
• Mechanism to induce geometric constriction on kinks and domain walls
• Composite solitary waves in three-component scalar field theory: II. Three-body low-energy scattering
• Manipulating the internal structure of Bloch walls

Cited by in corpus (6)

• Super long-range kinks
• Exact BPS double-kinks in generalized ${\varphi }^4$, ${\varphi }^6$ and sine-Gordon models
• Geometrically constrained sine-Gordon field: BPS solitons and their collisions
• Sine-Gordon kink lattice
• Geometrically constrained multi-kink configurations in generalized impurity-doped field theories
• Localized structures in two-field systems: exact solutions in the presence of Lorentz symmetry breaking and explicit connection with geometric constraints