标题： 对称$φ^4$-$φ^2 |φ|$-$φ^2$三阱模型的孤子 显示英文标题

标题： Solitons of the Symmetric $φ^4$-$φ^2 |φ|$-$φ^2$ Triple Well Model

摘要： 一个对称的$\phi^4$-$\phi^2 |\phi|$-$\phi^2$模型最近引起了广泛关注，因为它在研究可调相变中的有用性。 我们分析了该模型在整个参数范围内的行为，并获得了其阶跃和脉冲解。 为了完整性，我们还给出了该模型的几个周期解。 此外，我们提出一个广义的对称 $\phi^{4n}$-$\phi^{2n}|\phi|$-$\phi^2$ 模型，其中 $n = 1, 2, 3, ...$ 并获得其对于任意 $n$ 的扭结和脉冲解。 显示英文摘要

摘要： A symmetric $\phi^4$-$\phi^2 |\phi|$-$\phi^2$ model has recently attracted a lot of attention due to its usefulness in studying tunable phase transitions. We analyze the behavior of this model for the entire range of parameters and obtain its kink and pulse solutions. For completeness, we also present several periodic solutions of this model. Furthermore, we present a generalized symmetric $\phi^{4n}$-$\phi^{2n}|\phi|$-$\phi^2$ model where $n = 1, 2, 3, ...$ and obtain its kink and pulse solutions for arbitrary $n$.