3 research outputs found
General solutions for some classes of interacting two field kinks
In this work we present some classes of models whose the corresponding two
coupled first-order nonlinear equations can be put into a linear form, and
consequently be solved completely. In these cases the so-called trial orbit
method is completely unnecessary. We recall that some physically important
models as, for instance, the problem of tiling a plane with a network of
defects and polymer properties are in this class of models.Comment: 14 pages, 3 figure
Fluctuating solutions for the evolution of domain walls
A class of oscillating Lorentz covariant configurations for the evolution of
the domain walls in diverse dimensions are analytically obtained. It is shown
that the oscillating solutions in the case of domain walls are responsible for
structures which are larger than the usual kink-like configurations and, in the
Lorentz covariant evolution case, lead to long-standing configurations.Comment: 14 pages, 7 figure