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: 03.50.Kk, 05.45.-a, 11.10.Lm

In the framework of scalar-tensor gravity, we consider non–flat interacting quintessence cosmology where a scalar field is with dark matter. Such can be standard or phantom one. We use Noether Symmetry Approach to obtain general exact solutions for cosmological equations and select scalar-field self-interaction potentials. It turns out that found reproduce accelerated expansion Universe, are co...

Generalization of QCD motivated classical SU(2) Yang–Mills theory coupled to the scalar field is discussed. The massive scalar field, corresponding the scalar glueball, provides a confining potential for static, point–like, external sources. In case of massless scalar field screening solutions are found. However, there is a confining sector as well. Both, massive and massless confining solution...

We consider the question which potentials in the action of a (1+1) dimensional scalar field theory allowing for spontaneous symmetry breaking have quantum fluctuations corresponding to reflectionless scattering data. The general problem of restoration from known scattering data is formulated and a number of explicit examples is given. Only certain sets of reflectionless scattering data correspo...