标题： V形场电位的自相似性 - 更多示例 显示英文标题

标题： Self-similarity for V-shaped field potentials - further examples

摘要： 三个具有V形势场的新型号$U$被考虑：1+1维中的复标量场$X$与$U(X)= |X|$，2+1维中的实标量场$\Phi$与$U(\Phi) = |\Phi|$，以及1+1维中的实标量场$\phi$与$U{\phi) = \phi \Theta(\phi)$，其中$\Theta$是阶跃函数。 找到几种显式的自相似解。 它们描述了有趣的动态过程，例如，将字符串“冻结”在静态配置中。 显示英文摘要

摘要： 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 $\Phi$ in 2+1 dimensions with $U(\Phi) = |\Phi|$, and a real scalar field $\phi$ in 1+1 dimensions with $U{\phi) = \phi \Theta(\phi)$ where $\Theta$ 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.