2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/186112Three 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 $Φ$ in 2+1 dimensions with $U(Φ) = |Φ|$, and a real scalar field $ϕ$ in 1+1 dimensions with $U{ϕ) = ϕΘ(ϕ)$ where $Θ$ is the step function. Several explicit, self-similar solutions are found. They describe interesting dynamical processes, for example, `freezing' a string in a static configuration.17 pages, 4 figuresHigh Energy Physics - TheoryMathematical PhysicsExactly Solvable and Integrable Systemstext