The monotonicity and critical periods of periodic waves of the φ6 field model
The monotonicity and critical periods of periodic waves of the φ6 field model
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DOI：
10.1007/s11071-010-9797-0
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发表时间：
2011
影响因子：
5.6
通讯作者：
Aiyong Chen;Jibin Li;Wentao Huang
中科院分区：
文献类型：
--
作者：
Aiyong Chen;Jibin Li;Wentao Huang
本文研究了φ 6场模型的周期行波解的周期与能量之间的关系。利用标准相图分析技术，给出了周期环的各种拓扑相图。研究了与周期波相关的周期函数的一些解析性质（凸性、单调性和临界周期数）。证明了周期函数在一定条件下存在唯一的临界周期。并进行了数值模拟。结果表明，我们的理论分析与数值模拟一致。
In this paper, we study the relationship between period and energy of periodic traveling wave solutions for theφ6field model. The various topological phase portraits with periodic annulus are given by using standard phase portrait analytical technique. Some analytic behaviors (convexity, monotonicity and number of critical periods) of the period functions associated with periodic waves are investigated. We prove that the period function has exactly one critical period under certain conditions. Moreover, the numerical simulation is made. The results show that our theoretical analysis agrees with the numerical simulation.