Kink dynamics in a nonlinear beam model

In this paper, we study the single kink and kink-antikink collisions of a nonlinear beam equation bearing fourth-derivative term. We numerically explore some key characteristics both in its standing wave traveling form. A point emphasis is collisions, exploring critical velocity for single-bounce (and separation) infinite-bounce (where antikink trap each other) windows. The relevant phenomenology turns out to be dramatically different than that corresponding Klein-Gordon (i.e., $\phi^4$) model. Our computations show small initial velocities, reflect nearly elastically without colliding. For an intermediate interval two waves other, while large speeds inelastic collision between them takes place. Lastly, briefly touch upon use collective coordinates (CC) method their predictions phenomenology. When one degree freedom used CC approach, results match well numerical ones values velocity. However, bigger velocity, it inferred more degrees need self-consistently included order capture