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We explore a variant of the $phi^6$ model originally proposed in Phys. Rev. D {bf 12}, 1606 (1975) as a prototypical, so-called, bag model in which domain walls play the role of quarks within hadrons. We examine the steady state of the model, namely an apparent bound state of two kink structures. We explore its linearization, and we find that, as a function of a parameter controlling the curvature of the potential, an {it effectively arbitrary} number of internal modes may arise in the point spectrum of the linearization about the domain wall profile. We explore some of the key characteristics of kink-antikink collisions, such as the critical velocity and the multi-bounce windows, and how they depend on the principal parameter of the model. We find that the critical velocity exhibits a non-monotonic dependence on the parameter controlling the curvature of the potential. For the multi-bounce windows, we find that their range and complexity decrease as the relevant parameter decreases (and as the number of internal modes in the model increases). We use a modified collective coordinates method [in the spirit of recent works such as {Phys. Rev. D} {bf 94}, 085008 (2016)] in order to capture the relevant phenomenology in a semi-analytical manner.
We consider the interaction of solitary waves in a model involving the well-known $phi^4$ Klein-Gordon theory, but now bearing both Laplacian and biharmonic terms with different prefactors. As a result of the competition of the respective linear oper
We study kink-antikink scattering in a one-parameter variant of the $phi^4$ theory where the model parameter controls the static intersoliton force. We interpolate between the limit of no static force (BPS limit) and the regime where the static inter
In this paper we describe the structure of a class of two-component scalar field models in a (1+1) Minkowskian space-time which generalize the well-known Montonen-Sarker-Trullinger-Bishop -hence MSTB- model. This class includes all the field models w
The problem of stability and spectrum of linear excitations of a soliton (kink) of the dispersive sine-Gordon and $varphi^4$ - equations is solved exactly. It is shown that the total spectrum consists of a discrete set of frequencies of internal mode
In this paper kink scattering processes are investigated in the Montonen-Sarker-Trullinger-Bishop model. The MSTB model is in fact a one-parametric family of relativistic scalar field theories living in a one-time one-space Minkowski space-time which