含时Peierls方程的呼吸子近似解

Approximated breather solution of the time-dependent Peierls equation

摘要:

呼吸子是一种广泛存在于非线性模型中的重要非线性振动模. 本文给出了含时Peierls方程的近似呼吸子解，并且通过数值方法验证了呼吸子解的正确性. 结果表明了动力学Peierls方程也存在呼吸子解，呼吸子可以看作是位错和反位错的束缚态.

Abstract:

Breather is an important nonlinear vibration mode that widely exists in many nonlinear models. In this paper, the approximate breather solution of the time-dependent Peierls equation is presented, and the correctness of the breather solution is verified by numerical simulation. The results show that the proposed solution is really a breather of the dynamical Peierls equation, and the breather solution can be viewed as a bound state of dislocation and anti-dislocation.