KINK-ANTIKINK COLLISIONS IN SINE-GORDON AND PHI-4 MODELS - PROBLEMS IN THE VARIATIONAL APPROACH
KINK-ANTIKINK COLLISIONS IN SINE-GORDON AND PHI-4 MODELS - PROBLEMS IN THE VARIATIONAL APPROACH
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DOI：
10.1103/physreva.44.6219
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发表时间：
1991-11-15
影响因子：
2.9
通讯作者：
FLYTZANIS, N
中科院分区：
文献类型：
--
作者：
CAPUTO, JG;FLYTZANIS, N
本文考虑摄动Sine-Gordon方程的呼吸型解的集体坐标描述。从数值和解析两个方面说明了描述呼吸参数演化的方程定义不明确。这一特征被证明是因为方程是通过在零矢量上的投影而获得的。在Phi-4模型中扭结-反扭结碰撞的集体坐标描述中也显示了它的存在。提出了一种不会产生奇点的替代方法。
In this paper, a collective-coordinate description of a breatherlike solution of the perturbed sine-Gordon equation is considered. It is shown both numerically and analytically that the equations describing the evolution of the breather parameters are ill defined. This feature is shown to arise because the equations are obtained through a projection on a null vector. It is shown to be present also in collective-coordinate descriptions of the kink-antikink collision in the phi-4 model. Alternative Ansatze that do not cause singularities are presented.