We investigate a perturbation of a scalar field model (called here the signum-Gordon model) with the potential V (f) = |f |. The perturbation generalizes the signum-Gordon model to theâ€¦ (More)

We study a scalar field theory with a non-standard kinetic term minimally coupled to gravity. We establish the existence of compact boson stars, that is, static solutions with compact support of theâ€¦ (More)

Recently we proposed that K fields, that is, fields with a non-standard kinetic term, may provide a mechanism for the generation of thick branes, based on the following observations. Firstly, K fieldâ€¦ (More)

We investigate self-similar solutions of evolution equation of a (1+1)dimensional field model with the V-shaped potential U(Ï†) = |Ï†|, where Ï† is a real scalar field. The equation contains a nonlinearâ€¦ (More)

A new class of solutions in the signum-Klein-Gordon model is presented. Our solutions merge properties of shock waves and compactons that appear in scalar field models with V-shaped potentials. PACS:â€¦ (More)

We investigate a (1+1)-dimensional classical field theoretic model with the field potential V (Ï†) = |Ï†|. It can be obtained as the universal small amplitude limit in a class of models with potentialsâ€¦ (More)

We investigate a version of the abelian Higgs model with a non-standard kinetic term (K field theory) in 2+1 dimensions. The existence of vortex type solutions with compact support (topologicalâ€¦ (More)

In this lecture we outline main results of our investigations of certain field-theoretic systems which have V-shaped field potential. After presenting physical examples of such systems we show thatâ€¦ (More)

Three new models with V-shaped field potentials U are considered: a complex scalar field X in 1+1 dimensions with U (X) = |X|, a real scalar field Î¦ in 2+1 dimensions with U (Î¦) = |Î¦|, and a realâ€¦ (More)

A model describing exact compact static solutions (compactons) in 4+1 dimensions is proposed. These solutions may be classified topologically as suspended Hopf maps, so they are, in fact, compactâ€¦ (More)