A Novel Envelope Soliton Solution to the Granular Crystal Model

• 来源期刊: 理论物理通讯（英文版）
• 年，卷（期）: 2017,（11）
• 页码范围: 627-631
• 页数: 5页
• 语种: 英文
• DOI: 10.1088/0253-6102/68/5/627

摘要

A theoretical work on envelope solitons to a one-dimensional granular chain model is reported.In the small amplitude approximation,we analytically solve the equation of motion with the help of the semidiscrete multiple-scale method.Our results show that the granular chain model can support an asymmetric high-order envelope soliton under the certain condition.It is found that the second-harmonic term of this high-order envelope soliton has an additional phase.In addition,the influence of both the material parameter and the static load on the localized features of the high-order envelope soliton is discussed.